What is 5/9 × (1761-32) ?

The solution to 5/9 × (1761-32) is 960 5/9

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Popular Pre Algebra >

5/9 × (1761-32)

Solution

\frac{5}{9} \cdot (1761 - 32)

Solution

960 \frac{5}{9}

Decimal

960.55555 \dots

Solution steps

\frac{5}{9} (1761 - 32)

Follow the PEMDAS order of operations

Calculate within parentheses

(1761 - 32) : 1729

1761 - 32

1761 - 32 = 1729

= 1729

= \frac{5}{9} \cdot 1729

Multiply and divide (left to right)

\frac{5}{9} \cdot 1729 : \frac{8645}{9}

\frac{5}{9} \cdot 1729

Convert element to fraction:

1729 = \frac{1729}{1}

= \frac{5}{9} \cdot \frac{1729}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 1729}{9 \cdot 1}

Multiply the numbers:

5 \cdot 1729 = 8645

= \frac{8645}{9 \cdot 1}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{8645}{9}

= \frac{8645}{9}

Convert improper fractions to mixed numbers:

\frac{8645}{9} = 960 \frac{5}{9}

\frac{8645}{9} = 960

Remainder

5

\frac{8645}{9}

Write the problem in long division format

9 \overline{∣ 8645}

Divide

86

9

to get

9

Divide

86

9

to get

9

9 9 \overline{∣ 8645}

Multiply the quotient digit

(9)

by the divisor

9

9 9 \overline{∣ 8645} \underline{81}

Subtract

81

from

86

9 9 \overline{∣ 8645} \underline{81} 5

Bring down the next number of the dividend

9 9 \overline{∣ 8645} \underline{81} 54

9 9 \overline{∣ 8645} \underline{81} 54

Divide

54

9

to get

6

Divide

54

9

to get

6

96 9 \overline{∣ 8645} \underline{81} 54

Multiply the quotient digit

(6)

by the divisor

9

96 9 \overline{∣ 8645} \underline{81} 54 \underline{54}

Subtract

54

from

54

96 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 0

Bring down the next number of the dividend

96 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 05

96 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 05

Divide

5

9

to get

0

Divide

5

9

to get

0

960 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 05

Multiply the quotient digit

(0)

by the divisor

9

960 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 05 \underline{0}

Subtract

0

from

5

960 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 05 \underline{0} 5

960 9 \overline{∣ 8645} \underline{81} 54 \underline{54} 05 \underline{0} 5

The solution for Long Division of

\frac{8645}{9}

960

with remainder of

5

960 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{8645}{9} = 960 \frac{5}{9}

= 960 \frac{5}{9}

= 960 \frac{5}{9}

Popular Examples

30\div 2-24\div 3(-2× 2)

Frequently Asked Questions (FAQ)

What is 5/9 × (1761-32) ?
The solution to 5/9 × (1761-32) is 960 5/9

5/9 × (1761-32)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 5/9 × (1761-32) ?

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