explain 19/20+2/15 — step-by-step solution

Let's calculate:

\frac{19}{20} + \frac{2}{15}

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

\frac{19 \times 3 + 2 \times 4}{20 \times 3}

ⓘMultiplications are done before additions and subtractions:

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

ℹ

2 \times 4

8

‖

20 \times 3

60

\frac{57 + 8}{60}

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

57 + 8

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}

equals:

▷

\approx 1.0833