explain 10 2/7 + 14 3/10 — step-by-step solution

⚠ 10 2/7 is read as the mixed number 10 + 2/7

⚠ 14 3/10 is read as the mixed number 14 + 3/10

Let's evaluate:

10

+ \frac{2}{7}

+ 14

+ \frac{3}{10}

ℹ

10 + 14

24

24 + \frac{2}{7} + \frac{3}{10}

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

\frac{2}{7} + \frac{3}{10}

\frac{2 \times 10 + 3 \times 7}{7 \times 10}

24 + \frac{2 \times 10 + 3 \times 7}{7 \times 10}

ⓘMultiplications are done before additions and subtractions:

2 \times 10

20

ℹ

3 \times 7

21

‖

7 \times 10

70

24 + \frac{20 + 21}{70}

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

20 + 21

41

24 + \frac{41}{70}

▶Result:

24

\frac{41}{70}

The approximate value of:

24 + \frac{41}{70}

equals:

24 + \approx 0.5857

▷

\approx 24.5857