explain 5 1/16 + 16 4/5 — step-by-step solution

⚠ 5 1/16 is read as the mixed number 5 + 1/16

⚠ 16 4/5 is read as the mixed number 16 + 4/5

Let's evaluate:

5

+ \frac{1}{16}

+ 16

+ \frac{4}{5}

ℹ

5 + 16

21

21 + \frac{1}{16} + \frac{4}{5}

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

\frac{1}{16} + \frac{4}{5}

\frac{1 \times 5 + 4 \times 16}{16 \times 5}

21 + \frac{1 \times 5 + 4 \times 16}{16 \times 5}

ⓘMultiplications are done before additions and subtractions:

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

ℹ

1 \times 5

5

21 + \frac{5 + 64}{80}

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

5 + 64

69

21 + \frac{69}{80}

▶Result:

21

\frac{69}{80}

The approximate value of:

21 + \frac{69}{80}

is:

21 + 0.8625

▷

21.8625