12 5/16 + 20 9/10 + 18 1/20

⚠ 12 5/16 is read as the mixed number 12 + 5/16■20 9/10 is read as the mixed number 20 + 9/10■18 1/20 is read as the mixed number 18 + 1/20

Let's evaluate:

12

+ \frac{5}{16}

+ 20

+ \frac{9}{10}

+ 18

+ \frac{1}{20}

ⓘ Start from

12

and move forward

20

on the number line:

12 + 20

32

■Add fractions by using a common denominator and then adding their numerators:

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

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

32

+ \frac{5}{16}

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

+ 18

ⓘ Multiplications are done before additions and subtractions:

2 \times 9

18

■Start from

32

and move forward

18

on the number line:

32 + 18

50

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

ⓘ Calculate the numerator and denominator before dividing:

18 + 1

19

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

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

80

, the least common multiple of

16

and

20

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

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

\frac{5 \times 5}{16 \times 5} + \frac{19 \times 4}{20 \times 4}

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

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

ⓘ Multiplications are done before additions and subtractions:

5 \times 5

25

19 \times 4

(10 + 9) \times 4

10 \times 4 + 9 \times 4

40 + 36

76

ⅰ

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

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

ⓘ Calculate the numerator and denominator before dividing:

25 + 76

101

50 + \frac{101}{80}

▶Result:

51

\frac{21}{80}

ⓘ Since the fraction

\frac{101}{80}

exceeds 1, take

1

out of it and add it to the whole part:

50 + \frac{101}{80}

50 + \frac{80 + 21}{80}

50 + \frac{80}{80} + \frac{21}{80}

50 + 1 + \frac{21}{80}

51 + \frac{21}{80}

The numeric value of:

51 + \frac{21}{80}

equals:

51 + 0.2625

▷

51.2625

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