[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.13.1″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n
[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n
We already know about proper and improper fractions. A mixed fraction is another type of fraction in which we have a whole number as well as a fraction.<\/span><\/p>\n For example, 5 (\u00bc) is a mixed fraction where 5 is a whole number and \\frac{1}{4}<\/span>is a proper fraction.<\/span><\/p>\n \u00a0<\/b><\/p>\n Generally, we write the improper fractions in the form of mixed fractions. Let us learn how we can convert improper fractions to mixed fractions.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n <\/b><\/p>\n An improper fraction can not be simplified further, and the value of the numerator is greater than the denominator,\u00a0<\/span><\/p>\n For example, 29\/7 is an improper fraction. Let us convert this into a mixed fraction.<\/span><\/p>\n \u00a0<\/b><\/p>\n <\/p>\n <\/b><\/p>\n Let us convert the mixed fraction 3(1\/4) into an improper fraction.\u00a0<\/span><\/p>\n Here 3 is the whole number, 1 is the numerator, and 4 is the denominator.<\/span><\/p>\n \u00a0<\/b><\/p>\n <\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n We can perform addition, subtraction, multiplication and division on these fractions.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n To add mixed fractions, convert them to improper fractions.<\/span><\/p>\n Now check whether the denominators are the same or not?\u00a0<\/span><\/b><\/p>\n <\/span><\/p>\n Simply, add the numerators of both the fractions and keep the same denominator.<\/span><\/b><\/p>\n <\/span><\/p>\n For example – we want to add 1(\u2156) and 1(\u2155).\u00a0<\/span><\/p>\n Converting both the mixed fractions into improper fractions, we get\u00a0<\/span><\/p>\n 1(\u2156) = 7\/5 and 1(\u2155) = 6\/5<\/span><\/p>\n Now, 7\/5 and 6\/5 have the same denominator.\u00a0<\/span><\/p>\n So, 7\/5 + 6\/5<\/span><\/p>\n = (7+6)\/5<\/span><\/p>\n = 13\/5 = 2(\u2157)<\/span><\/p>\n <\/span><\/p>\n Now we will have to make both the denominators equal. For doing this, we follow the below process –\u00a0<\/span><\/p>\n \u00a0<\/span><\/p>\n For example – After converting the mixed fractions, we have two fractions, 7\/6 and 11\/8.\u00a0<\/span><\/p>\n Now the denominators are different.<\/span><\/p>\n <\/span><\/p>\n It is similar to the addition of mixed fractions. While we were adding the numerators in addition, here we will subtract them. All other procedures and rules are the same.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n Multiplication of fractions is very easy. We just need to multiply both the numerators and denominators together and write them in fraction form. If the resultant fraction can be simplified, we simplify it otherwise, convert it into a mixed fraction (if required).<\/span><\/p>\n \u00a0<\/span><\/p>\n Suppose we have two mixed fractions, 2(\u00be) and 3(\u215a), and we want to multiply them. Then follow the steps given below.<\/span><\/p>\n \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0It means (11\/4) \u00d7 (23\/6) = (11 \u00d7 23)\/(4\u00d76) = 253\/24<\/span><\/p>\n <\/span><\/p>\n <\/p>\n <\/b><\/p>\n It is the opposite process of multiplication. Now, suppose we divide the last two mixed fractions 2(\u00be) and 3(\u215a).<\/span><\/p>\n \u00a0<\/b><\/p>\n \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0It means (11\/4) \u00f7 (23\/6) = (11\/4) \u00d7 (6\/23) (11 \u00d7 6)\/(4\u00d723) = 66\/92<\/span><\/p>\n .<\/span><\/p>\n <\/span><\/p>\n <\/b><\/p>\n Follow these steps for converting an improper fraction to a mixed fraction.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n Converting them into improper fractions –\u00a0<\/span><\/p>\n 1(\u2154) = 5\/3 and 2(\u00be) = 11\/4<\/span><\/p>\n We have to add (5\/3) + (11\/4)<\/span><\/p>\n Denominators are different. So LCM of denominators 3 and 4 = 12<\/span><\/p>\n To make the denominators 12, multiply the numerator and denominator of (5\/3) by 4 and (11\/4) by 3.\u00a0<\/span><\/p>\n We get, (20\/12) + (33\/12)\u00a0<\/span><\/p>\n Add both the numerators and keep the denominator the same. We get 53\/12\u00a0<\/span><\/p>\n Converting 53\/12 into a mixed fraction, we get 4(5\/12) as our final answer.<\/span><\/p>\n <\/p>\n [\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics [\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_text admin_label=”Related Concepts [\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=”Row for space” _builder_version=”4.10.6″ _module_preset=”default” locked=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.11″ _module_preset=”default” global_colors_info=”{}”][et_pb_divider show_divider=”off” _builder_version=”4.10.4″ _module_preset=”default” global_colors_info=”{}”][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=”1″ admin_label=”banner and faq Section” module_class=”mainsec2″ _builder_version=”4.10.4″ _module_preset=”default” custom_padding=”40px||0px||false|false” global_colors_info=”{}”][et_pb_row use_custom_gutter=”on” gutter_width=”1″ make_equal=”on” disabled_on=”on|on|off” admin_label=”banner Row” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fff7d6″ width=”100%” max_width=”1310px” height=”134px” custom_margin=”||50px||false|false” custom_padding=”12px||12px||true|false” border_radii=”on|11px|11px|11px|11px” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_image src=”https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png” title_text=”calloutImage” show_bottom_space=”off” admin_label=”Image” module_class=”img1″ _builder_version=”4.10.8″ _module_preset=”default” width=”25px” height=”60px” custom_padding=”2px||2px||true|false” global_colors_info=”{}”][\/et_pb_image][et_pb_text module_class=”ftstyle” _builder_version=”4.9.10″ _module_preset=”default” text_orientation=”center” global_colors_info=”{}”]<\/p>\nConversion: Improper Fraction to a Mixed Fraction<\/b><\/h2>\n
\n
\n
Conversion: Mixed Fraction to an Improper Fraction<\/b><\/h2>\n
\n
Operations on Mixed Fractions<\/b><\/h2>\n
Addition of Mixed Fractions<\/b><\/h3>\n
If denominators are the same –\u00a0<\/b><\/h3>\n
If denominators are different<\/b><\/h3>\n
\n
\n
Subtraction of Mixed Fractions<\/b><\/h3>\n
Multiplying Mixed Fractions<\/b><\/h3>\n
\n
\n
Division of Mixed Fractions<\/b><\/h3>\n
\n
\n
Example<\/b><\/h2>\n
\u00a01. Convert 17\/5 to mixed fractions.<\/span><\/h3>\n
\n
2. Add the mixed fractions 1(\u2154) and 2(\u00be).<\/span><\/h3>\n
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nExplore Other Topics<\/h1>\n
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nRelated Concepts<\/h1>\n