7/20+11/15

Let's calculate:

\frac{7}{20} + \frac{11}{15}

ⓘ To add fractions, put them over the same denominator, then add the 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{7}{20} + \frac{11}{15}

\frac{7 \times 3}{20 \times 3} + \frac{11 \times 4}{15 \times 4}

\frac{7 \times 3 + 11 \times 4}{20 \times 3}

\frac{7 \times 3 + 11 \times 4}{20 \times 3}

ⓘ Multiplications are done before additions and subtractions:

7 \times 3

21

11 \times 4

(10 + 1) \times 4

10 \times 4 + 4

40 + 4

44

ⅰ

20 \times 3

60

\frac{21 + 44}{60}

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

21 + 44

65

\frac{65}{60}

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

5

, their greatest common divisor:

\frac{65}{60}

\frac{13 \times 5}{12 \times 5}

\frac{13}{12}

▶Result:

\frac{13}{12}

The numeric value of:

\frac{13}{12}

equals:

▷

\approx 1.0833

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