explain 6 9/20 + 7 1/9 + 14 11/20 — step-by-step solution

⚠ 6 9/20 is read as the mixed number 6 + 9/20

⚠ 7 1/9 is read as the mixed number 7 + 1/9

Let's evaluate:

6

+ \frac{9}{20}

+ 7

+ \frac{1}{9}

+ 14

+ \frac{11}{20}

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

\frac{9}{20} + \frac{11}{20}

\frac{9 + 11}{20}

ℹ

6 + 7

13

13

+ \frac{9 + 11}{20}

+ \frac{1}{9}

+ 14

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

9 + 11

20

ℹ

13 + 14

27

27 + \frac{20}{20} + \frac{1}{9}

ℹ

\frac{20}{20} + \frac{1}{9}

\frac{20 \times 9 + 1 \times 20}{20 \times 9}

27 + \frac{20 \times 9 + 1 \times 20}{20 \times 9}

ⓘMultiplications are done before additions and subtractions:

20 \times 9

180

ℹ

1 \times 20

20

‖

20 \times 9

180

27 + \frac{180 + 20}{180}

ℹ

180 + 20

200

27 + \frac{200}{180}

We simplify the fraction:

\frac{200}{180}

by the common factor:

20

to get the new quotient:

\frac{10}{9}

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

20

\frac{200}{180}

\frac{10 \times 20}{9 \times 20}

\frac{10}{9}

27 + \frac{10}{9}

ⓘThe fraction

\frac{10}{9}

is greater than 1: add its integer part

1

to the whole part:

\frac{10}{9} + 27

28 + \frac{1}{9}

▶Result:

28

\frac{1}{9}

The approximate value of:

28 + \frac{1}{9}

is:

28 + \approx 0.1111

▷

\approx 28.1111