The solution to 10(1-1/6) is 8 1/3

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10(1-1/6)

Solution

10 (1 - \frac{1}{6})

Solution

8 \frac{1}{3}

Solution steps

10 (1 - \frac{1}{6})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{1}{6}) : \frac{5}{6}

1 - \frac{1}{6}

1 - \frac{1}{6} = \frac{5}{6}

1 - \frac{1}{6}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

1 \cdot 6 - 1 = 5

1 \cdot 6 - 1

Multiply the numbers:

1 \cdot 6 = 6

= 6 - 1

Subtract the numbers:

6 - 1 = 5

= 5

= \frac{5}{6}

= \frac{5}{6}

= 10 \cdot \frac{5}{6}

Multiply and divide (left to right)

10 \cdot \frac{5}{6} : \frac{25}{3}

10 \cdot \frac{5}{6}

Convert element to fraction:

10 = \frac{10}{1}

= \frac{10}{1} \cdot \frac{5}{6}

Apply the fraction rule:

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

= \frac{10 \cdot 5}{1 \cdot 6}

Cancel

\frac{10 \cdot 5}{1 \cdot 6} : \frac{25}{3}

\frac{10 \cdot 5}{1 \cdot 6}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{10 \cdot 5}{6}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5 \cdot 5}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 5 \cdot 5}{2 \cdot 3}

Cancel the common factor:

2

= \frac{5 \cdot 5}{3}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{25}{3}

= \frac{25}{3}

= \frac{25}{3}

Convert improper fractions to mixed numbers:

\frac{25}{3} = 8 \frac{1}{3}

\frac{25}{3} = 8

Remainder

1

\frac{25}{3}

Write the problem in long division format

3 \overline{∣ 25}

Divide

25

3

to get

8

Divide

25

3

to get

8

8 3 \overline{∣ 25}

Multiply the quotient digit

(8)

by the divisor

3

8 3 \overline{∣ 25} \underline{24}

Subtract

24

from

25

8 3 \overline{∣ 25} \underline{24} 1

8 3 \overline{∣ 25} \underline{24} 1

The solution for Long Division of

\frac{25}{3}

8

with remainder of

1

8 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{25}{3} = 8 \frac{1}{3}

= 8 \frac{1}{3}

= 8 \frac{1}{3}

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(1 (6)) \div (1 (2)) (1 (1)) + (1 (2))

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(-1+2)(-1^2-2(-1)+4)

(- 1 + 2) (- 1^{2} - 2 (- 1) + 4)

-7+19-23-14+5

- 7 + 19 - 23 - 14 + 5

Frequently Asked Questions (FAQ)

What is 10(1-1/6) ?
The solution to 10(1-1/6) is 8 1/3

10(1-1/6)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 10(1-1/6) ?