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A fraction is a mixed fraction if it contains a whole number and a proper fraction. The value of this fraction is always greater than 1. A mixed fraction can also be written in the form of an improper fraction and vice-versa. Let us have a look at some mixed fraction examples.<\/span><\/p>\n <\/span><\/p>\n Examples:<\/b><\/p>\n 3 is a whole number and \\frac{2}{35}<\/span> <\/span>is a fraction.<\/span><\/p>\n 1 is a whole number and \\frac{5}{6}<\/span> <\/span>is a fraction.<\/span><\/p>\n <\/p>\n A mixed fraction is written in the form of \u201c a\\frac{b}{c}<\/span><\/span>\u201d,<\/span><\/p>\n a = whole number <\/span> The improper fraction form of this mixed fraction is written as\u00a0 \\frac{(a \\times c)+b}{c}<\/span>.<\/span><\/p>\n <\/span><\/p>\n An improper fraction is written in the form of \\frac{p}{q}(\\text { where } \\mathrm{p}>\\mathrm{q})<\/span><\/span><\/p>\n p = numerator <\/span> We have to then divide numerator by denominator.<\/span><\/p>\n Then the mixed fraction form of this improper fraction is written as \\text { (Quotient } \\frac{\\text { Remainder }}{\\text { Divisor }} \\text { ) }<\/span><\/span><\/span><\/p>\n <\/span><\/p>\n Solution<\/strong><\/p>\n1 \\frac{1}{7}<\/span>\n Improper fraction form of 1 \\frac{1}{7}<\/span><\/span>= \\frac{(a \\times c)+b}{c}=\\frac{(1 \\times 7)+1}{7}=\\frac{8}{7}<\/span>.<\/span><\/p>\n <\/span><\/p>\n 2. Convert \\frac{12}{5}<\/span> <\/b>into a mixed fraction<\/b><\/b><\/p>\n Solution<\/strong><\/p>\n \\frac{12}{5}<\/span> <\/b>is an improper fraction.<\/span><\/p>\n When we divide 12 by 5.<\/span><\/p>\n Mixed fraction form of \\frac{12}{5} =\\text { Quotient } \\frac{\\text { Remainder }}{\\text { Divisor }}=2 \\frac{2}{5}<\/span><\/b>.<\/span><\/p>\n <\/b><\/span><\/p>\n 3. Add 6 \\frac{1}{5} \\text { and } \\frac{2}{5}<\/span><\/b>.<\/b><\/p>\n Solution<\/strong><\/p>\n First, we have to convert 6 \\frac{1}{5} <\/span><\/b><\/span>into an improper fraction.<\/span><\/p>\n6 \\frac{1}{5}=\\frac{6 \\times 5+1}{5}=\\frac{31}{5}<\/span>\n \\frac{2}{5}<\/span> is already a proper fraction.\u00a0<\/span><\/p>\n Since denominators are the same, it will be easier to add them.<\/span><\/p>\n6 \\frac{1}{5}+\\frac{2}{5}=\\frac{31}{5}+\\frac{2}{5}=\\frac{31+2}{5}=\\frac{33}{5}=6 \\frac{3}{5}<\/span>\n <\/p>\n 4. Subtract 1 \\frac{1}{5} \\text { from } \\frac{9}{5} \\text {. }<\/span><\/b><\/p>\n Solution<\/strong><\/p>\n First, we have to convert 1 \\frac{1}{5}<\/span> <\/span>into an improper fraction.<\/span><\/p>\n1 \\frac{1}{5}=\\frac{1 \\times 5+1}{5}=\\frac{7}{5}<\/span>\n \\frac{9}{5}<\/span> is already an improper fraction.\u00a0<\/span><\/p>\n Since denominators are the same, it will be easier to add them.<\/span><\/p>\n\\frac{9}{5}-1 \\frac{1}{5}=\\frac{9}{5}-\\frac{7}{5}=\\frac{9-7}{5}=\\frac{2}{5}<\/span>\n <\/span><\/p>\n 5. Find the value of 3 \\frac{1}{3}+\\frac{2}{5}-1 \\frac{1}{15}<\/span>.<\/b><\/p>\n Solution<\/strong><\/p>\n3 \\frac{1}{3}+\\frac{2}{5}-1 \\frac{1}{15}=\\frac{3 \\times 3+1}{3}+\\frac{2}{5}-\\frac{15 \\times 1+1}{15}<\/span>\n = \\frac{10}{3}+\\frac{2}{5}-\\frac{16}{15}<\/span><\/p>\n = \\frac{10 \\times 5}{3 \\times 5}+\\frac{2 \\times 3}{5 \\times 3}-\\frac{16}{15}<\/span><\/p>\n = \\frac{50}{15}+\\frac{6}{15}-\\frac{16}{15}<\/span><\/p>\n = \\frac{50+6-16}{15}=\\frac{40}{15}=2 \\frac{10}{15}=2 \\frac{2}{3}<\/span><\/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\n
<\/span>2 is a whole number and \\frac{1}{7}<\/span> <\/span>is a fraction.<\/span>
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<\/span>1 is a whole number and \\frac{2}{5}<\/span> <\/span>is a fraction.<\/span>
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Converting mixed fraction into an improper fraction<\/b><\/h3>\n
<\/span>b = numerator <\/span>
<\/span>c = denominator<\/span><\/p>\nConverting improper fraction into a mixed fraction<\/b><\/h3>\n
<\/span>q = denominator<\/span><\/p>\nSolved Examples<\/b><\/h2>\n
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\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