explain 18 11/20 + 5 5/16 + 15 1/10 — step-by-step solution

⚠ 18 11/20 is read as the mixed number 18 + 11/20

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

Let's evaluate:

18

+ \frac{11}{20}

+ 5

+ \frac{5}{16}

+ 15

+ \frac{1}{10}

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

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

\frac{11 + 2}{20}

ℹ

18 + 5

23

23

+ \frac{11 + 2}{20}

+ \frac{5}{16}

+ 15

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

11 + 2

13

ℹ

23 + 15

38

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

ℹ

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

\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

ℹ

5 \times 5

25

‖

20 \times 4

80

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

ℹ

52 + 25

77

38 + \frac{77}{80}

▶Result:

38

\frac{77}{80}

The approximate value of:

38 + \frac{77}{80}

equals:

38 + 0.9625

▷

38.9625