explain 14 7/15 + 7 6/7 + 24 13/15 — step-by-step solution

⚠ 14 7/15 is read as the mixed number 14 + 7/15

⚠ 7 6/7 is read as the mixed number 7 + 6/7

Let's evaluate:

14

+ \frac{7}{15}

+ 7

+ \frac{6}{7}

+ 24

+ \frac{13}{15}

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

\frac{7}{15} + \frac{13}{15}

\frac{7 + 13}{15}

ℹ

14 + 7

21

21

+ \frac{7 + 13}{15}

+ \frac{6}{7}

+ 24

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

7 + 13

20

ℹ

21 + 24

45

45 + \frac{20}{15} + \frac{6}{7}

ℹ

\frac{20}{15} + \frac{6}{7}

\frac{20 \times 7 + 6 \times 15}{15 \times 7}

45 + \frac{20 \times 7 + 6 \times 15}{15 \times 7}

ⓘMultiplications are done before additions and subtractions:

20 \times 7

140

‖

6 \times 15

(10 + 5) \times 6

10 \times 6 + 5 \times 6

60 + 30

90

‖

15 \times 7

(10 + 5) \times 7

10 \times 7 + 5 \times 7

70 + 35

105

45 + \frac{140 + 90}{105}

ℹ

140 + 90

230

45 + \frac{230}{105}

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

5

\frac{230}{105}

\frac{46 \times 5}{21 \times 5}

\frac{46}{21}

45 + \frac{46}{21}

ⓘThe fraction

\frac{46}{21}

is greater than 1: add its integer part

2

to the whole part:

\frac{46}{21} + 45

47 + \frac{4}{21}

▶Result:

47

\frac{4}{21}

The approximate value of:

47 + \frac{4}{21}

is:

47 + \approx 0.1905

▷

\approx 47.1905