What is 63/5 \times (1-6/7) ?

The solution to 63/5 \times (1-6/7) is 1 4/5

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Popular >

63/5 \times (1-6/7)

Solution

\frac{63}{5} \cdot (1 - \frac{6}{7})

Solution

1 \frac{4}{5}

Solution steps

\frac{63}{5} (1 - \frac{6}{7})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{6}{7}) : \frac{1}{7}

1 - \frac{6}{7}

1 - \frac{6}{7} = \frac{1}{7}

1 - \frac{6}{7}

Convert element to fraction:

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

= \frac{1 \cdot 7}{7} - \frac{6}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 7 - 6}{7}

1 \cdot 7 - 6 = 1

1 \cdot 7 - 6

Multiply the numbers:

1 \cdot 7 = 7

= 7 - 6

Subtract the numbers:

7 - 6 = 1

= 1

= \frac{1}{7}

= \frac{1}{7}

= \frac{63}{5} \cdot \frac{1}{7}

Multiply and divide (left to right)

\frac{63}{5} \cdot \frac{1}{7} : \frac{9}{5}

\frac{63}{5} \cdot \frac{1}{7}

Apply the fraction rule:

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

= \frac{63 \cdot 1}{5 \cdot 7}

\frac{63 \cdot 1}{5 \cdot 7} = \frac{9}{5}

\frac{63 \cdot 1}{5 \cdot 7}

Multiply the numbers:

63 \cdot 1 = 63

= \frac{63}{5 \cdot 7}

Factor the number:

63 = 7 \cdot 9

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

Cancel the common factor:

7

= \frac{9}{5}

= \frac{9}{5}

= \frac{9}{5}

Convert improper fractions to mixed numbers:

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

\frac{9}{5} = 1

Remainder

4

\frac{9}{5}

Write the problem in long division format

5 \overline{∣ 9}

Divide

9

5

to get

1

Divide

9

5

to get

1

1 5 \overline{∣ 9}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 9} \underline{5}

Subtract

5

from

9

1 5 \overline{∣ 9} \underline{5} 4

1 5 \overline{∣ 9} \underline{5} 4

The solution for Long Division of

\frac{9}{5}

1

with remainder of

4

1 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

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

= 1 \frac{4}{5}

= 1 \frac{4}{5}

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90 + (70% \times 90)

-2*(-3/2)+2

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5/(-1^2+4)

\frac{5}{- 1 ^{2} + 4}

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110 - (40% \times 110)

2^{21}-2

2^{21} - 2

Frequently Asked Questions (FAQ)

What is 63/5 \times (1-6/7) ?
The solution to 63/5 \times (1-6/7) is 1 4/5