explain 4 1/10 + 16 7/8 + 12 2/3 — step-by-step solution

⚠ 4 1/10 is read as the mixed number 4 + 1/10

⚠ 16 7/8 is read as the mixed number 16 + 7/8

Let's calculate:

4

+ \frac{1}{10}

+ 16

+ \frac{7}{8}

+ 12

+ \frac{2}{3}

ℹ

4 + 16

20

20

+ \frac{1}{10}

+ \frac{7}{8}

+ 12

+ \frac{2}{3}

ℹ

20 + 12

32

32

+ \frac{1}{10}

+ \frac{7}{8}

+ \frac{2}{3}

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

\frac{1}{10} + \frac{7}{8}

\frac{1 \times 4 + 7 \times 5}{10 \times 4}

32 + \frac{1 \times 4 + 7 \times 5}{10 \times 4} + \frac{2}{3}

ⓘMultiplications are done before additions and subtractions:

7 \times 5

35

ℹ

1 \times 4

4

‖

10 \times 4

40

32 + \frac{4 + 35}{40} + \frac{2}{3}

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

4 + 35

39

32 + \frac{39}{40} + \frac{2}{3}

ℹ

\frac{39}{40} + \frac{2}{3}

\frac{39 \times 3 + 2 \times 40}{40 \times 3}

32 + \frac{39 \times 3 + 2 \times 40}{40 \times 3}

ⓘ

39 \times 3

(30 + 9) \times 3

30 \times 3 + 9 \times 3

90 + 27

117

ℹ

2 \times 40

80

‖

40 \times 3

120

32 + \frac{117 + 80}{120}

ℹ

117 + 80

197

32 + \frac{197}{120}

ⓘThe fraction

\frac{197}{120}

is greater than 1: add its integer part

1

to the whole part:

\frac{197}{120} + 32

33 + \frac{77}{120}

▶Result:

33

\frac{77}{120}

The approximate value of:

33 + \frac{77}{120}

is:

33 + \approx 0.6417

▷

\approx 33.6417