explain 6/19+1/9 — step-by-step solution

Let's evaluate:

\frac{6}{19} + \frac{1}{9}

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

\frac{6 \times 9 + 1 \times 19}{19 \times 9}

ⓘMultiplications are done before additions and subtractions:

6 \times 9

54

‖

19 \times 9

(10 + 9) \times 9

10 \times 9 + 9 \times 9

90 + 81

171

ℹ

1 \times 19

19

\frac{54 + 19}{171}

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

54 + 19

73

▶Result:

\frac{73}{171}

The numeric value of:

\frac{73}{171}

is:

▷

\approx 0.4269