explain 17 4/5 + 1 7/20 + 14 17/20 — step-by-step solution

⚠ 17 4/5 is read as the mixed number 17 + 4/5

⚠ 1 7/20 is read as the mixed number 1 + 7/20

Let's evaluate:

17

+ \frac{4}{5}

+ 1

+ \frac{7}{20}

+ 14

+ \frac{17}{20}

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

\frac{4}{5} + \frac{7}{20}

\frac{4 \times 4 + 7}{20}

ℹ

17 + 1

18

18

+ \frac{4 \times 4 + 7}{20}

+ 14

+ \frac{17}{20}

ⓘMultiplications are done before additions and subtractions:

4 \times 4

16

ℹ

18 + 14

32

32 + \frac{16 + 7}{20} + \frac{17}{20}

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

16 + 7

23

32 + \frac{23}{20} + \frac{17}{20}

ℹ

\frac{23}{20} + \frac{17}{20}

\frac{23 + 17}{20}

32 + \frac{23 + 17}{20}

ℹ

23 + 17

40

32 + \frac{40}{20}

We divide

\frac{40}{20}

by the common factor:

20

, which gives the new expression:

2

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

20

\frac{40}{20}

\frac{2 \times 20}{1 \times 20}

\frac{2}{1}

32 + 2

▶Result:

34