What is 1 7/9 /(4/5) ?

The solution to 1 7/9 /(4/5) is 2 2/9

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Popular >

Divide 1 7/9÷(4/5)

Solution

1 \frac{7}{9} / (4/5)

Solution

2 \frac{2}{9}

Solution steps

1 \frac{7}{9} / (4/5)

Convert mixed numbers to improper fractions:

1 \frac{7}{9} = \frac{16}{9}

1 \frac{7}{9}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

1 \frac{7}{9} = \frac{1 \cdot 9 + 7}{9}

= \frac{16}{9}

= \frac{16}{9} / (4/5)

Follow the PEMDAS order of operations

Calculate within parentheses

(4/5) : \frac{4}{5}

4/5

4/5 = \frac{4}{5}

= \frac{4}{5}

= \frac{16}{9} / \frac{4}{5}

Multiply and divide (left to right)

\frac{16}{9} / \frac{4}{5} : \frac{20}{9}

\frac{16}{9} / \frac{4}{5}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{16}{9} \cdot \frac{5}{4}

Cross-cancel common factor:

4

= \frac{4}{9} \cdot \frac{5}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 5}{9 \cdot 1}

Multiply the numbers:

4 \cdot 5 = 20

= \frac{20}{9 \cdot 1}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{20}{9}

= \frac{20}{9}

Convert improper fractions to mixed numbers:

\frac{20}{9} = 2 \frac{2}{9}

\frac{20}{9} = 2

Remainder

2

\frac{20}{9}

Write the problem in long division format

9 \overline{∣ 20}

Divide

20

9

to get

2

Divide

20

9

to get

2

2 9 \overline{∣ 20}

Multiply the quotient digit

(2)

by the divisor

9

2 9 \overline{∣ 20} \underline{18}

Subtract

18

from

20

2 9 \overline{∣ 20} \underline{18} 2

2 9 \overline{∣ 20} \underline{18} 2

The solution for Long Division of

\frac{20}{9}

2

with remainder of

2

2 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{20}{9} = 2 \frac{2}{9}

= 2 \frac{2}{9}

= 2 \frac{2}{9}

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Frequently Asked Questions (FAQ)

What is 1 7/9 /(4/5) ?
The solution to 1 7/9 /(4/5) is 2 2/9