explain 19 3/16 + 5 6/7 — step-by-step solution

⚠ 19 3/16 is read as the mixed number 19 + 3/16

⚠ 5 6/7 is read as the mixed number 5 + 6/7

Let's calculate:

19

+ \frac{3}{16}

+ 5

+ \frac{6}{7}

ℹ

19 + 5

24

24 + \frac{3}{16} + \frac{6}{7}

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

\frac{3}{16} + \frac{6}{7}

\frac{3 \times 7 + 6 \times 16}{16 \times 7}

24 + \frac{3 \times 7 + 6 \times 16}{16 \times 7}

ⓘMultiplications are done before additions and subtractions:

3 \times 7

21

‖

6 \times 16

(10 + 6) \times 6

10 \times 6 + 6 \times 6

60 + 36

96

‖

16 \times 7

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

24 + \frac{21 + 96}{112}

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

21 + 96

117

24 + \frac{117}{112}

ⓘThe fraction

\frac{117}{112}

is greater than 1: add its integer part

1

to the whole part:

\frac{117}{112} + 24

25 + \frac{5}{112}

▶Result:

25

\frac{5}{112}

The numeric value of:

25 + \frac{5}{112}

is:

25 + \approx 4.4643 \times 10^{- 2}

▷

\approx 25.0446