18 11/20 + 5 5/16 + 15 1/10

⚠ 18 11/20 is read as the mixed number 18 + 11/20■5 5/16 is read as the mixed number 5 + 5/16■15 1/10 is read as the mixed number 15 + 1/10

Let's calculate:

18

+ \frac{11}{20}

+ 5

+ \frac{5}{16}

+ 15

+ \frac{1}{10}

ⓘ Start from

18

and move forward

5

on the number line:

18 + 5

23

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

\frac{11}{20} + \frac{1}{10}

\frac{11 + 2}{20}

23

+ \frac{11 + 2}{20}

+ \frac{5}{16}

+ 15

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

11 + 2

13

23

+ \frac{13}{20}

+ \frac{5}{16}

+ 15

ⓘ Start from

23

and move forward

15

on the number line:

23 + 15

38

38 + \frac{13}{20} + \frac{5}{16}

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

80

, the least common multiple of

20

and

16

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

\frac{13}{20} + \frac{5}{16}

\frac{13 \times 4}{20 \times 4} + \frac{5 \times 5}{16 \times 5}

\frac{13 \times 4 + 5 \times 5}{20 \times 4}

38 + \frac{13 \times 4 + 5 \times 5}{20 \times 4}

ⓘ Multiplications are done before additions and subtractions:

13 \times 4

(10 + 3) \times 4

10 \times 4 + 3 \times 4

40 + 12

52

5 \times 5

25

ⅰ

20 \times 4

80

38 + \frac{52 + 25}{80}

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

52 + 25

77

38 + \frac{77}{80}

▶Result:

38

\frac{77}{80}

The numeric value of:

38 + \frac{77}{80}

equals:

38 + 0.9625

▷

38.9625

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