explain 7 1/16 + 2 13/15 + 23 3/5 — step-by-step solution

⚠ 7 1/16 is read as the mixed number 7 + 1/16

⚠ 2 13/15 is read as the mixed number 2 + 13/15

Let's calculate:

7

+ \frac{1}{16}

+ 2

+ \frac{13}{15}

+ 23

+ \frac{3}{5}

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

\frac{13}{15} + \frac{3}{5}

\frac{13 + 3 \times 3}{15}

ℹ

7 + 2

9

9

+ \frac{1}{16}

+ \frac{13 + 3 \times 3}{15}

+ 23

ⓘMultiplications are done before additions and subtractions:

3 \times 3

9

ℹ

9 + 23

32

32 + \frac{1}{16} + \frac{13 + 9}{15}

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

13 + 9

22

32 + \frac{1}{16} + \frac{22}{15}

ℹ

\frac{1}{16} + \frac{22}{15}

\frac{1 \times 15 + 22 \times 16}{16 \times 15}

32 + \frac{1 \times 15 + 22 \times 16}{16 \times 15}

ⓘ

22 \times 16

22 \times (10 + 6)

22 \times 10 + 22 \times 6

220 + 132

352

‖

16 \times 15

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

ℹ

1 \times 15

15

32 + \frac{15 + 352}{240}

ℹ

15 + 352

367

32 + \frac{367}{240}

ⓘThe fraction

\frac{367}{240}

is greater than 1: add its integer part

1

to the whole part:

\frac{367}{240} + 32

33 + \frac{127}{240}

▶Result:

33

\frac{127}{240}

The numeric value of:

33 + \frac{127}{240}

is:

33 + \approx 0.5292

▷

\approx 33.5292