explain 2/9+7/16 — step-by-step solution

Let's evaluate:

\frac{2}{9} + \frac{7}{16}

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

\frac{2 \times 16 + 7 \times 9}{9 \times 16}

ⓘMultiplications are done before additions and subtractions:

2 \times 16

(10 + 6) \times 2

10 \times 2 + 6 \times 2

20 + 12

32

‖

9 \times 16

(10 + 6) \times 9

10 \times 9 + 6 \times 9

90 + 54

144

ℹ

7 \times 9

63

\frac{32 + 63}{144}

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

32 + 63

95

▶Result:

\frac{95}{144}

The approximate value of:

\frac{95}{144}

equals:

▷

\approx 0.6597