What is 5-5/7 \div 9/2 ?

The solution to 5-5/7 \div 9/2 is 4 53/63

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Popular >

5-5/7 \div 9/2

Solution

5 - \frac{5}{7} \div \frac{9}{2}

Solution

4 \frac{53}{63}

Solution steps

5 - \frac{5}{7} \div \frac{9}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{7} \div \frac{9}{2} : \frac{10}{63}

\frac{5}{7} \div \frac{9}{2}

Apply the fraction rule:

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

= \frac{5}{7} \cdot \frac{2}{9}

Multiply fractions:

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

= \frac{5 \cdot 2}{7 \cdot 9}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{10}{7 \cdot 9}

Multiply the numbers:

7 \cdot 9 = 63

= \frac{10}{63}

= 5 - \frac{10}{63}

Add and subtract (left to right)

5 - \frac{10}{63} : \frac{305}{63}

5 - \frac{10}{63}

5 - \frac{10}{63} = \frac{305}{63}

5 - \frac{10}{63}

Convert element to fraction:

5 = \frac{5 \cdot 63}{63}

= \frac{5 \cdot 63}{63} - \frac{10}{63}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 \cdot 63 - 10}{63}

5 \cdot 63 - 10 = 305

5 \cdot 63 - 10

Multiply the numbers:

5 \cdot 63 = 315

= 315 - 10

Subtract the numbers:

315 - 10 = 305

= 305

= \frac{305}{63}

= \frac{305}{63}

= \frac{305}{63}

Convert improper fractions to mixed numbers:

\frac{305}{63} = 4 \frac{53}{63}

\frac{305}{63} = 4

Remainder

53

\frac{305}{63}

Write the problem in long division format

63 \overline{∣ 305}

Divide

305

63

to get

4

Divide

305

63

to get

4

4 63 \overline{∣ 305}

Multiply the quotient digit

(4)

by the divisor

63

4 63 \overline{∣ 305} \underline{252}

Subtract

252

from

305

4 63 \overline{∣ 305} \underline{252} 53

4 63 \overline{∣ 305} \underline{252} 53

The solution for Long Division of

\frac{305}{63}

4

with remainder of

53

4 Remainder 53

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{305}{63} = 4 \frac{53}{63}

= 4 \frac{53}{63}

= 4 \frac{53}{63}

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Frequently Asked Questions (FAQ)

What is 5-5/7 \div 9/2 ?
The solution to 5-5/7 \div 9/2 is 4 53/63