4 1/10 + 16 7/8 + 12 2/3

⚠ 4 1/10 is read as the mixed number 4 + 1/10■16 7/8 is read as the mixed number 16 + 7/8■12 2/3 is read as the mixed number 12 + 2/3

1) Let's calculate:

4

+ \frac{1}{10}

+ 16

+ \frac{7}{8}

+ 12

+ \frac{2}{3}

ⓘ Start from

4

and move forward

16

on the number line:

4 + 16

20

20

+ \frac{1}{10}

+ \frac{7}{8}

+ 12

+ \frac{2}{3}

ⓘ Start from

20

and move forward

12

on the number line:

20 + 12

32

32

+ \frac{1}{10}

+ \frac{7}{8}

+ \frac{2}{3}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

40

, the least common multiple of

10

and

8

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{1 \times 4}{10 \times 4} + \frac{7 \times 5}{8 \times 5}

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

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

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

ⓘ Perform multiplications before additions and subtractions:

7 \times 5

35

ⅰ

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}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

120

, the least common multiple of

40

and

3

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

39 \times 3

(30 + 9) \times 3

30 \times 3 + 9 \times 3

90 + 27

117

2 \times 40

80

ⅰ

40 \times 3

120

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

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

117 + 80

197

32 + \frac{197}{120}

▶Result:

33

\frac{77}{120}

ⓘ The fraction

\frac{197}{120}

is greater than 1: extract

1

from it and add it to the whole part:

32 + \frac{197}{120}

32 + \frac{120 + 77}{120}

32 + \frac{120}{120} + \frac{77}{120}

32 + 1 + \frac{77}{120}

33 + \frac{77}{120}

2) The numeric value of:

33 + \frac{77}{120}

is:

33 + \approx 0.6417

▷

\approx 33.6417

100% free