{"id":5023,"date":"2021-12-01T18:20:49","date_gmt":"2021-12-01T18:20:49","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=5023"},"modified":"2022-01-03T07:13:06","modified_gmt":"2022-01-03T07:13:06","slug":"unit-fractions-with-examples-and-faq","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/unit-fractions-with-examples-and-faq\/","title":{"rendered":"Unit Fractions with Examples and FAQ"},"content":{"rendered":"

[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
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Unit Fractions with Examples and FAQ<\/h1>\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

How can you say that a fraction is a unit fraction or not?<\/b><\/h2>\n

Any fraction with 1 as its numerator and a natural number in the denominator is called a unit fraction.<\/span><\/p>\n

For example:<\/strong> \\frac{2}{3}, \\frac{1}{5}, \\frac{8}{13}, \\frac{1}{15}<\/span> are some fractions out of which only <\/span>\\frac{1}{5} \\text { and } \\frac{1}{15}<\/span> are unit fractions. The other two are not.\u00a0<\/span><\/p>\n

Therefore, the general form of a unit fraction is \\frac{1}{x}<\/span>, where x<\/span> is a natural number. <\/span><\/p>\n

The images show unit fractions \\frac{1}{4} \\text { and } \\frac{1}{8}<\/span>.<\/span><\/p>\n

\"\" \"\"<\/span><\/p>\n

<\/span><\/p>\n

Examples<\/b><\/h2>\n

Example 1:<\/strong> Select the unit fractions among the given fraction \\frac{1}{4}, \\frac{2}{6}, \\frac{5}{15}, \\frac{4}{9}, \\frac{3}{4}, \\frac{1}{6}<\/span>.<\/span><\/b><\/p>\n

Solution:\u00a0<\/strong><\/p>\n

From the given set of fractions, we can see that \\frac{1}{4} \\text { and } \\frac{1}{6}<\/span> <\/span>are clearly unit fractions.<\/span><\/p>\n

\\frac{2}{6}=\\frac{1}{3} \\text { and } \\frac{5}{15}=\\frac{1}{3}<\/span> <\/span>can also be represented as unit fractions.\u00a0<\/span><\/b><\/p>\n

\\frac{4}{9} \\text { and } \\frac{3}{4}<\/span> c<\/span><\/b>an not be reduced to unit fractions.<\/span><\/p>\n

Hence from the given set of fractions \\frac{1}{4}, \\frac{2}{6}, \\frac{5}{15} \\text { and } \\frac{1}{6}<\/span>are unit fractions.<\/span><\/p>\n

<\/span><\/p>\n

Example 2:<\/strong> Add the unit fractions,\\frac{1}{4} \\text { and } \\frac{1}{6}<\/span>.<\/span><\/span><\/p>\n

Solution:\u00a0<\/strong><\/p>\n

To add the two unit fractions at first, we must change them to like fractions.<\/span><\/p>\n

Since the denominators in the given fractions are different, we find the LCM of 4 and 6 to make the same.<\/span><\/p>\n

LCM of 4 and 6 = 12.<\/span><\/p>\n

\\text { Now, multiply } \\frac{1}{4} \\text { with } \\frac{3}{3} \\Rightarrow \\frac{1}{4} \\times \\frac{3}{3}=\\frac{3}{12} \\text {. }<\/span><\/span><\/p>\n

\\text { Similarly multiplying } \\frac{1}{6} \\text { with } \\frac{2}{2} \\Rightarrow \\frac{1}{6} \\times \\frac{2}{2}=\\frac{2}{12}<\/span><\/span><\/p>\n

Hence we have got like fractions which makes the addition simple.<\/span><\/p>\n

\\therefore \\frac{1}{4}+\\frac{1}{6}=\\frac{3}{12}+\\frac{2}{12}=\\frac{3+2}{12}=\\frac{5}{12}<\/span><\/span><\/p>\n

\\text { Hence, } \\frac{1}{4}+\\frac{1}{6}=\\frac{5}{12} \\text {. }<\/span><\/span><\/p>\n

<\/span><\/p>\n

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Explore Other Topics<\/h1>\n

[\/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

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Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

[\/et_pb_text][et_pb_text admin_label=”Related Concepts
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Related Concepts<\/h1>\n

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\n
Types of Fractions<\/a><\/div>\n
Like Fractions<\/a><\/div>\n
Unlike Fractions<\/a><\/a><\/div>\n<\/div>\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>\n

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Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    1. What are Unit Fractions and Non-unit Fractions?<\/strong><\/h3>\n

    Ans: <\/strong>Unit fractions are those fractions in which the numerator is 1 i.e., unit and the denominator is any natural number. For example,\\frac{1}{2}, \\frac{1}{10}, \\frac{1}{25}, \\text { etc. }<\/span>
    <\/span><\/p>\n

    Non- unit fractions have numerator values that are other than 1, for example, \\frac{2}{7}, \\frac{5}{8}, \\frac{3}{5}, \\text { etc. }<\/span><\/span><\/span><\/p>\n

    2. 1 is a Unit Fraction or not?<\/strong><\/h3>\n

    Ans: <\/strong>1 can also be written as \\frac{1}{1}<\/span>, here as the numerator is 1 it is thus a unit fraction.<\/span><\/p>\n

    3. Are Unit Fractions Proper Fractions?
    <\/strong><\/h3>\n

    Ans: <\/strong>Unit fractions are proper fractions because the numerator in the unit fraction is 1 which is the smallest natural number. Hence, any natural number in the denominator will be greater than 1. For example: \\frac{1}{2}, \\frac{1}{10}, \\frac{1}{25},<\/span> etc., are all proper fractions.<\/strong><\/p>\n

    Note:<\/strong> The only exception<\/span> 1=\\frac{1}{1}<\/span><\/span>, <\/span>is a unit fraction but it is not a proper fraction.<\/span><\/p>\n

    <\/strong><\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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