6 1/5 + 3 13/20 + 14 1/15

⚠ 6 1/5 is read as the mixed number 6 + 1/5■3 13/20 is read as the mixed number 3 + 13/20■14 1/15 is read as the mixed number 14 + 1/15

1) Let's evaluate:

6

+ \frac{1}{5}

+ 3

+ \frac{13}{20}

+ 14

+ \frac{1}{15}

ⓘ Start from

6

and move forward

3

on the number line:

6 + 3

9

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

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

\frac{4 + 13}{20}

9

+ \frac{4 + 13}{20}

+ 14

+ \frac{1}{15}

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

4 + 13

17

9

+ \frac{17}{20}

+ 14

+ \frac{1}{15}

ⓘ Start from

9

and move forward

14

on the number line:

9 + 14

23

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

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

60

, the least common multiple of

20

and

15

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

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

\frac{17 \times 3}{20 \times 3} + \frac{1 \times 4}{15 \times 4}

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

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

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

ⓘ Perform multiplications before additions and subtractions:

17 \times 3

(10 + 7) \times 3

10 \times 3 + 7 \times 3

30 + 21

51

ⅰ

20 \times 3

60

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

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

51 + 4

55

23 + \frac{55}{60}

ⓘ Simplify the fraction by dividing the numerator and the denominator by

5

, their greatest common divisor:

\frac{55}{60}

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

\frac{11}{12}

23 + \frac{11}{12}

▶Result:

23

\frac{11}{12}

2) The numeric value of:

23 + \frac{11}{12}

equals:

23 + \approx 0.9167

▷

\approx 23.9167

100% free