explain 16 7/9 + 21 5/16 — step-by-step solution

⚠ 16 7/9 is read as the mixed number 16 + 7/9

⚠ 21 5/16 is read as the mixed number 21 + 5/16

Let's calculate:

16

+ \frac{7}{9}

+ 21

+ \frac{5}{16}

ℹ

16 + 21

37

37 + \frac{7}{9} + \frac{5}{16}

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

\frac{7}{9} + \frac{5}{16}

\frac{7 \times 16 + 5 \times 9}{9 \times 16}

37 + \frac{7 \times 16 + 5 \times 9}{9 \times 16}

ⓘMultiplications are done before additions and subtractions:

7 \times 16

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

‖

9 \times 16

(10 + 6) \times 9

10 \times 9 + 6 \times 9

90 + 54

144

ℹ

5 \times 9

45

37 + \frac{112 + 45}{144}

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

112 + 45

157

37 + \frac{157}{144}

ⓘThe fraction

\frac{157}{144}

is greater than 1: add its integer part

1

to the whole part:

\frac{157}{144} + 37

38 + \frac{13}{144}

▶Result:

38

\frac{13}{144}

The approximate value of:

38 + \frac{13}{144}

is:

38 + \approx 9.0278 \times 10^{- 2}

▷

\approx 38.0903