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6 parts
a

23\frac{2}{3}

b

34\frac{3}{4}

c

34\frac{3}{4}

d

45\frac{4}{5}

e

56\frac{5}{6}

f

34\frac{3}{4}

Step-by-step solution

13 steps

Here are the solutions for adding the fractions:

Part a· 2 steps

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

    13+13=1+13\frac{1}{3} + \frac{1}{3} = \frac{1+1}{3}
  2. Simplify the fraction.

    1+13=23\frac{1+1}{3} = \boxed{\frac{2}{3}}

    The image shows one-third shaded in the first shape and one-third shaded in the second, totaling two-thirds.

Part b

34\frac{3}{4}

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

    24+14=2+14\frac{2}{4} + \frac{1}{4} = \frac{2+1}{4}
  2. Simplify the fraction.

    2+14=34\frac{2+1}{4} = \boxed{\frac{3}{4}}

    The image shows two-fourths shaded in the first shape and one-fourth shaded in the second, totaling three-fourths.

Part c

34\frac{3}{4}

  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}}

    The image shows one-fourth shaded in the first shape and two-fourths shaded in the second, totaling three-fourths.

Part d

45\frac{4}{5}

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

    15+35=1+35\frac{1}{5} + \frac{3}{5} = \frac{1+3}{5}
  2. Simplify the fraction.

    1+35=45\frac{1+3}{5} = \boxed{\frac{4}{5}}

    The image shows one-fifth shaded in the first shape and three-fifths shaded in the second, totaling four-fifths.

Part e

56\frac{5}{6}

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

    26+36=2+36\frac{2}{6} + \frac{3}{6} = \frac{2+3}{6}
  2. Simplify the fraction.

    2+36=56\frac{2+3}{6} = \boxed{\frac{5}{6}}

    The image shows two-sixths shaded in the first shape and three-sixths shaded in the second, totaling five-sixths.

Part f

34\frac{3}{4}

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

    48+28=4+28\frac{4}{8} + \frac{2}{8} = \frac{4+2}{8}
  2. Simplify the fraction.

    4+28=68\frac{4+2}{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}}

    The image shows four-eighths shaded in the first shape and two-eighths shaded in the second, totaling six-eighths, which simplifies to three-fourths.

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