explain 4 7/16 + 23 9/10 — step-by-step solution

⚠ 4 7/16 is read as the mixed number 4 + 7/16

⚠ 23 9/10 is read as the mixed number 23 + 9/10

Let's calculate:

4

+ \frac{7}{16}

+ 23

+ \frac{9}{10}

ℹ

4 + 23

27

27 + \frac{7}{16} + \frac{9}{10}

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

\frac{7}{16} + \frac{9}{10}

\frac{7 \times 5 + 9 \times 8}{16 \times 5}

27 + \frac{7 \times 5 + 9 \times 8}{16 \times 5}

ⓘMultiplications are done before additions and subtractions:

7 \times 5

35

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

ℹ

9 \times 8

72

27 + \frac{35 + 72}{80}

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

35 + 72

107

27 + \frac{107}{80}

ⓘThe fraction

\frac{107}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{107}{80} + 27

28 + \frac{27}{80}

▶Result:

28

\frac{27}{80}

The numeric value of:

28 + \frac{27}{80}

is:

28 + 0.3375

▷

28.3375