explain 3/14+15/17 — step-by-step solution

Let's calculate:

\frac{3}{14} + \frac{15}{17}

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

\frac{3 \times 17 + 15 \times 14}{14 \times 17}

ⓘMultiplications are done before additions and subtractions:

3 \times 17

(10 + 7) \times 3

10 \times 3 + 7 \times 3

30 + 21

51

‖

15 \times 14

15 \times (10 + 4)

15 \times 10 + 15 \times 4

150 + 60

210

‖

14 \times 17

17 \times (10 + 4)

17 \times 10 + 17 \times 4

170 + 68

238

\frac{51 + 210}{238}

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

51 + 210

261

▶Result:

\frac{261}{238}

The numeric value of:

\frac{261}{238}

is:

▷

\approx 1.0966