explain 13 9/20 + 2 3/5 + 12 1/8 — step-by-step solution

⚠ 13 9/20 is read as the mixed number 13 + 9/20

⚠ 2 3/5 is read as the mixed number 2 + 3/5

Let's calculate:

13

+ \frac{9}{20}

+ 2

+ \frac{3}{5}

+ 12

+ \frac{1}{8}

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

\frac{9}{20} + \frac{3}{5}

\frac{9 + 4 \times 3}{20}

ℹ

13 + 2

15

15

+ \frac{9 + 4 \times 3}{20}

+ 12

+ \frac{1}{8}

ⓘMultiplications are done before additions and subtractions:

4 \times 3

12

ℹ

15 + 12

27

27 + \frac{9 + 12}{20} + \frac{1}{8}

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

9 + 12

21

27 + \frac{21}{20} + \frac{1}{8}

ℹ

\frac{21}{20} + \frac{1}{8}

\frac{21 \times 2 + 1 \times 5}{20 \times 2}

27 + \frac{21 \times 2 + 1 \times 5}{20 \times 2}

ⓘ

21 \times 2

(20 + 1) \times 2

20 \times 2 + 2

40 + 2

42

ℹ

1 \times 5

5

‖

20 \times 2

40

27 + \frac{42 + 5}{40}

ℹ

42 + 5

47

27 + \frac{47}{40}

ⓘThe fraction

\frac{47}{40}

is greater than 1: add its integer part

1

to the whole part:

\frac{47}{40} + 27

28 + \frac{7}{40}

▶Result:

28

\frac{7}{40}

The numeric value of:

28 + \frac{7}{40}

is:

28 + 0.175

▷

28.175