explain 24 13/20 + 8 3/10 + 14 1/20 — step-by-step solution

⚠ 24 13/20 is read as the mixed number 24 + 13/20

⚠ 8 3/10 is read as the mixed number 8 + 3/10

Let's evaluate:

24

+ \frac{13}{20}

+ 8

+ \frac{3}{10}

+ 14

+ \frac{1}{20}

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

\frac{13}{20} + \frac{3}{10}

\frac{13 + 2 \times 3}{20}

ℹ

24 + 8

32

32

+ \frac{13 + 2 \times 3}{20}

+ 14

+ \frac{1}{20}

ⓘMultiplications are done before additions and subtractions:

2 \times 3

6

ℹ

32 + 14

46

46 + \frac{13 + 6}{20} + \frac{1}{20}

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

13 + 6

19

46 + \frac{19}{20} + \frac{1}{20}

ℹ

\frac{19}{20} + \frac{1}{20}

\frac{19 + 1}{20}

46 + \frac{19 + 1}{20}

ℹ

19 + 1

20

46 + \frac{20}{20}

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

20

\frac{20}{20}

\frac{1 \times 20}{1 \times 20}

\frac{1}{1}

46 + 1

▶Result:

47