explain 1 2/9 + 13 7/8 + 20 3/8 — step-by-step solution

⚠ 1 2/9 is read as the mixed number 1 + 2/9

⚠ 13 7/8 is read as the mixed number 13 + 7/8

Let's calculate:

1

+ \frac{2}{9}

+ 13

+ \frac{7}{8}

+ 20

+ \frac{3}{8}

ⓘTo add fractions, put them over the same denominator, then add the numerators:

\frac{7}{8} + \frac{3}{8}

\frac{7 + 3}{8}

ℹ

1 + 13

14

14

+ \frac{2}{9}

+ \frac{7 + 3}{8}

+ 20

ⓘThe numerator and the denominator are computed before the division:

7 + 3

10

ℹ

14 + 20

34

34 + \frac{2}{9} + \frac{10}{8}

ℹ

\frac{2}{9} + \frac{10}{8}

\frac{2 \times 8 + 10 \times 9}{9 \times 8}

34 + \frac{2 \times 8 + 10 \times 9}{9 \times 8}

ⓘMultiplications are done before additions and subtractions:

2 \times 8

16

ℹ

10 \times 9

90

‖

9 \times 8

72

34 + \frac{16 + 90}{72}

ℹ

16 + 90

106

34 + \frac{106}{72}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{106}{72}

\frac{53 \times 2}{36 \times 2}

\frac{53}{36}

34 + \frac{53}{36}

ⓘThe fraction

\frac{53}{36}

is greater than 1: add its integer part

1

to the whole part:

\frac{53}{36} + 34

35 + \frac{17}{36}

▶Result:

35

\frac{17}{36}

The numeric value of:

35 + \frac{17}{36}

is:

35 + \approx 0.4722

▷

\approx 35.4722