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Add the fractions: a) 1/4 + 2/4 b) 2/5 + 1/5 c) 3/8 + 2/8 d) 1/6 + 2/6 e) 3/7 + 2/7 f) 5/8 + 1/8 g) 4/8 + 3/8 h) 3/5 + 2/5 i) 1/6 + 4/6

Mathematics

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21 steps

Here are the solutions for adding the fractions:

Part a· 2 steps

  1. Add the numerators since the denominators are the same.

    14+24=1+24\frac{1}{4} + \frac{2}{4} = \frac{1+2}{4}

  2. Simplify the fraction.

    1+24=34\frac{1+2}{4} = \boxed{\frac{3}{4}}

Part b· 2 steps

  1. Add the numerators since the denominators are the same.

    25+15=2+15\frac{2}{5} + \frac{1}{5} = \frac{2+1}{5}

  2. Simplify the fraction.

    2+15=35\frac{2+1}{5} = \boxed{\frac{3}{5}}

Part c· 2 steps

  1. Add the numerators since the denominators are the same.

    38+28=3+28\frac{3}{8} + \frac{2}{8} = \frac{3+2}{8}

  2. Simplify the fraction.

    3+28=58\frac{3+2}{8} = \boxed{\frac{5}{8}}

Part d· 3 steps

  1. Add the numerators since the denominators are the same.

    16+26=1+26\frac{1}{6} + \frac{2}{6} = \frac{1+2}{6}

  2. Simplify the numerator.

    1+26=36\frac{1+2}{6} = \frac{3}{6}

  3. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 3.

    3÷36÷3=12\frac{3 \div 3}{6 \div 3} = \boxed{\frac{1}{2}}

Part e· 2 steps

  1. Add the numerators since the denominators are the same.

    37+27=3+27\frac{3}{7} + \frac{2}{7} = \frac{3+2}{7}

  2. Simplify the fraction.

    3+27=57\frac{3+2}{7} = \boxed{\frac{5}{7}}

Part f· 3 steps

  1. Add the numerators since the denominators are the same.

    58+18=5+18\frac{5}{8} + \frac{1}{8} = \frac{5+1}{8}

  2. Simplify the numerator.

    5+18=68\frac{5+1}{8} = \frac{6}{8}

  3. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 2.

    6÷28÷2=34\frac{6 \div 2}{8 \div 2} = \boxed{\frac{3}{4}}

Part g· 2 steps

  1. Add the numerators since the denominators are the same.

    48+38=4+38\frac{4}{8} + \frac{3}{8} = \frac{4+3}{8}

  2. Simplify the fraction.

    4+38=78\frac{4+3}{8} = \boxed{\frac{7}{8}}

Part h· 3 steps

  1. Add the numerators since the denominators are the same.

    35+25=3+25\frac{3}{5} + \frac{2}{5} = \frac{3+2}{5}

  2. Simplify the fraction.

    3+25=55\frac{3+2}{5} = \frac{5}{5}

  3. Reduce the fraction to its simplest form.

    55=1\frac{5}{5} = \boxed{1}

Part h(i)· 2 steps

  1. Add the numerators since the denominators are the same.

    16+46=1+46\frac{1}{6} + \frac{4}{6} = \frac{1+4}{6}

  2. Simplify the fraction.

    1+46=56\frac{1+4}{6} = \boxed{\frac{5}{6}}
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