explain 14 3/10 + 16 13/15 — step-by-step solution

⚠ 14 3/10 is read as the mixed number 14 + 3/10

⚠ 16 13/15 is read as the mixed number 16 + 13/15

Let's evaluate:

14

+ \frac{3}{10}

+ 16

+ \frac{13}{15}

ℹ

14 + 16

30

30 + \frac{3}{10} + \frac{13}{15}

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

\frac{3}{10} + \frac{13}{15}

\frac{3 \times 3 + 13 \times 2}{10 \times 3}

30 + \frac{3 \times 3 + 13 \times 2}{10 \times 3}

ⓘMultiplications are done before additions and subtractions:

3 \times 3

9

‖

13 \times 2

(10 + 3) \times 2

10 \times 2 + 3 \times 2

20 + 6

26

ℹ

10 \times 3

30

30 + \frac{9 + 26}{30}

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

9 + 26

35

30 + \frac{35}{30}

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

5

\frac{35}{30}

\frac{7 \times 5}{6 \times 5}

\frac{7}{6}

30 + \frac{7}{6}

ⓘThe fraction

\frac{7}{6}

is greater than 1: add its integer part

1

to the whole part:

\frac{7}{6} + 30

31 + \frac{1}{6}

▶Result:

31

\frac{1}{6}

The numeric value of:

31 + \frac{1}{6}

is:

31 + \approx 0.1667

▷

\approx 31.1667