explain 12 5/16 + 20 9/10 + 18 1/20 — step-by-step solution

⚠ 12 5/16 is read as the mixed number 12 + 5/16

⚠ 20 9/10 is read as the mixed number 20 + 9/10

Let's calculate:

12

+ \frac{5}{16}

+ 20

+ \frac{9}{10}

+ 18

+ \frac{1}{20}

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

\frac{9}{10} + \frac{1}{20}

\frac{2 \times 9 + 1}{20}

ℹ

12 + 20

32

32

+ \frac{5}{16}

+ \frac{2 \times 9 + 1}{20}

+ 18

ⓘMultiplications are done before additions and subtractions:

2 \times 9

18

ℹ

32 + 18

50

50 + \frac{5}{16} + \frac{18 + 1}{20}

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

18 + 1

19

50 + \frac{5}{16} + \frac{19}{20}

ℹ

\frac{5}{16} + \frac{19}{20}

\frac{5 \times 5 + 19 \times 4}{16 \times 5}

50 + \frac{5 \times 5 + 19 \times 4}{16 \times 5}

ⓘ

19 \times 4

(10 + 9) \times 4

10 \times 4 + 9 \times 4

40 + 36

76

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

ℹ

5 \times 5

25

50 + \frac{25 + 76}{80}

ℹ

25 + 76

101

50 + \frac{101}{80}

ⓘThe fraction

\frac{101}{80}

is greater than 1: add its integer part

1

to the whole part:

\frac{101}{80} + 50

51 + \frac{21}{80}

▶Result:

51

\frac{21}{80}

The numeric value of:

51 + \frac{21}{80}

equals:

51 + 0.2625

▷

51.2625