explain 12 7/10 + 2 7/9 — step-by-step solution

⚠ 12 7/10 is read as the mixed number 12 + 7/10

⚠ 2 7/9 is read as the mixed number 2 + 7/9

Let's calculate:

12

+ \frac{7}{10}

+ 2

+ \frac{7}{9}

ℹ

12 + 2

14

14 + \frac{7}{10} + \frac{7}{9}

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

\frac{7}{10} + \frac{7}{9}

\frac{7 \times 9 + 7 \times 10}{10 \times 9}

14 + \frac{7 \times 9 + 7 \times 10}{10 \times 9}

ⓘMultiplications are done before additions and subtractions:

7 \times 9

63

ℹ

7 \times 10

70

‖

10 \times 9

90

14 + \frac{63 + 70}{90}

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

63 + 70

133

14 + \frac{133}{90}

ⓘThe fraction

\frac{133}{90}

is greater than 1: add its integer part

1

to the whole part:

\frac{133}{90} + 14

15 + \frac{43}{90}

▶Result:

15

\frac{43}{90}

The approximate value of:

15 + \frac{43}{90}

equals:

15 + \approx 0.4778

▷

\approx 15.4778