explain 6 1/5 + 3 13/20 + 14 1/15 — step-by-step solution

⚠ 6 1/5 is read as the mixed number 6 + 1/5

⚠ 3 13/20 is read as the mixed number 3 + 13/20

Let's evaluate:

6

+ \frac{1}{5}

+ 3

+ \frac{13}{20}

+ 14

+ \frac{1}{15}

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

\frac{1}{5} + \frac{13}{20}

\frac{4 + 13}{20}

ℹ

6 + 3

9

9

+ \frac{4 + 13}{20}

+ 14

+ \frac{1}{15}

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

4 + 13

17

ℹ

9 + 14

23

23 + \frac{17}{20} + \frac{1}{15}

ℹ

\frac{17}{20} + \frac{1}{15}

\frac{17 \times 3 + 1 \times 4}{20 \times 3}

23 + \frac{17 \times 3 + 1 \times 4}{20 \times 3}

ⓘMultiplications are done before additions and subtractions:

17 \times 3

(10 + 7) \times 3

10 \times 3 + 7 \times 3

30 + 21

51

ℹ

1 \times 4

4

‖

20 \times 3

60

23 + \frac{51 + 4}{60}

ℹ

51 + 4

55

23 + \frac{55}{60}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

5

\frac{55}{60}

\frac{11 \times 5}{12 \times 5}

\frac{11}{12}

23 + \frac{11}{12}

▶Result:

23

\frac{11}{12}

The approximate value of:

23 + \frac{11}{12}

equals:

23 + \approx 0.9167

▷

\approx 23.9167