explain 6 2/5 + 9 5/8 — step-by-step solution

⚠ 6 2/5 is read as the mixed number 6 + 2/5

⚠ 9 5/8 is read as the mixed number 9 + 5/8

Let's evaluate:

6

+ \frac{2}{5}

+ 9

+ \frac{5}{8}

ℹ

6 + 9

15

15 + \frac{2}{5} + \frac{5}{8}

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

\frac{2}{5} + \frac{5}{8}

\frac{2 \times 8 + 5 \times 5}{5 \times 8}

15 + \frac{2 \times 8 + 5 \times 5}{5 \times 8}

ⓘMultiplications are done before additions and subtractions:

2 \times 8

16

ℹ

5 \times 5

25

‖

5 \times 8

40

15 + \frac{16 + 25}{40}

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

16 + 25

41

15 + \frac{41}{40}

ⓘThe fraction

\frac{41}{40}

is greater than 1: add its integer part

1

to the whole part:

\frac{41}{40} + 15

16 + \frac{1}{40}

▶Result:

16

\frac{1}{40}

The approximate value of:

16 + \frac{1}{40}

equals:

16 + 0.025

▷

16.025