explain 12/17+17/20 — step-by-step solution

Let's evaluate:

\frac{12}{17} + \frac{17}{20}

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

\frac{12 \times 20 + 17 \times 17}{17 \times 20}

ⓘMultiplications are done before additions and subtractions:

12 \times 20

20 \times (10 + 2)

20 \times 10 + 20 \times 2

200 + 40

240

‖

17 \times 17

17 \times (10 + 7)

17 \times 10 + 17 \times 7

170 + 119

289

‖

17 \times 20

20 \times (10 + 7)

20 \times 10 + 20 \times 7

200 + 140

340

\frac{240 + 289}{340}

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

240 + 289

529

▶Result:

\frac{529}{340}

The numeric value of:

\frac{529}{340}

is:

▷

\approx 1.5559