explain 14 7/10 + 4 4/15 + 23 3/10 — step-by-step solution

⚠ 14 7/10 is read as the mixed number 14 + 7/10

⚠ 4 4/15 is read as the mixed number 4 + 4/15

Let's calculate:

14

+ \frac{7}{10}

+ 4

+ \frac{4}{15}

+ 23

+ \frac{3}{10}

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

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

\frac{7 + 3}{10}

ℹ

14 + 4

18

18

+ \frac{7 + 3}{10}

+ \frac{4}{15}

+ 23

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

7 + 3

10

ℹ

18 + 23

41

41 + \frac{10}{10} + \frac{4}{15}

ℹ

\frac{10}{10} + \frac{4}{15}

\frac{10 \times 3 + 4 \times 2}{10 \times 3}

41 + \frac{10 \times 3 + 4 \times 2}{10 \times 3}

ⓘMultiplications are done before additions and subtractions:

10 \times 3

30

ℹ

4 \times 2

8

‖

10 \times 3

30

41 + \frac{30 + 8}{30}

ℹ

30 + 8

38

41 + \frac{38}{30}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{38}{30}

\frac{19 \times 2}{15 \times 2}

\frac{19}{15}

41 + \frac{19}{15}

ⓘThe fraction

\frac{19}{15}

is greater than 1: add its integer part

1

to the whole part:

\frac{19}{15} + 41

42 + \frac{4}{15}

▶Result:

42

\frac{4}{15}

The numeric value of:

42 + \frac{4}{15}

is:

42 + \approx 0.2667

▷

\approx 42.2667