explain 7/20+11/15 — step-by-step solution

Let's evaluate:

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

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

\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 the number

5

\frac{65}{60}

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

\frac{13}{12}

▶Result:

\frac{13}{12}

The numeric value of:

\frac{13}{12}

is:

▷

\approx 1.0833