What is (5 1/10)(1-12/17) ?

The solution to (5 1/10)(1-12/17) is 1 1/2

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(5 1/10)(1-12/17)

Solution

(5 \frac{1}{10}) (1 - \frac{12}{17})

Solution

1 \frac{1}{2}

Solution steps

(5 \frac{1}{10}) (1 - \frac{12}{17})

Convert mixed numbers to improper fractions:

5 \frac{1}{10} = \frac{51}{10}

5 \frac{1}{10}

Convert mixed numbers to improper fraction:

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

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

= \frac{51}{10}

= (\frac{51}{10}) (1 - \frac{12}{17})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{12}{17}) : \frac{5}{17}

1 - \frac{12}{17}

1 - \frac{12}{17} = \frac{5}{17}

1 - \frac{12}{17}

Convert element to fraction:

1 = \frac{1 \cdot 17}{17}

= \frac{1 \cdot 17}{17} - \frac{12}{17}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 17 - 12}{17}

1 \cdot 17 - 12 = 5

1 \cdot 17 - 12

Multiply the numbers:

1 \cdot 17 = 17

= 17 - 12

Subtract the numbers:

17 - 12 = 5

= 5

= \frac{5}{17}

= \frac{5}{17}

= (\frac{51}{10}) \frac{5}{17}

Multiply and divide (left to right)

(\frac{51}{10}) \frac{5}{17} : \frac{3}{2}

(\frac{51}{10}) \frac{5}{17}

Remove parentheses:

(a) = a

= \frac{51}{10} \cdot \frac{5}{17}

Multiply fractions:

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

= \frac{51 \cdot 5}{10 \cdot 17}

Multiply the numbers:

51 \cdot 5 = 255

= \frac{255}{10 \cdot 17}

Multiply the numbers:

10 \cdot 17 = 170

= \frac{255}{170}

Cancel the common factor:

85

= \frac{3}{2}

= \frac{3}{2}

Convert improper fractions to mixed numbers:

\frac{3}{2} = 1 \frac{1}{2}

\frac{3}{2} = 1

Remainder

1

\frac{3}{2}

Write the problem in long division format

2 \overline{∣ 3}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 3}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 3} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 3} \underline{2} 1

1 2 \overline{∣ 3} \underline{2} 1

The solution for Long Division of

\frac{3}{2}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3}{2} = 1 \frac{1}{2}

= 1 \frac{1}{2}

= 1 \frac{1}{2}

Popular Examples

3(-1)+1

3 (- 1) + 1

1/2 (1)^2

\frac{1}{2} (1)^{2}

1^2+3

1^{2} + 3

78^2-72^2

7 8^{2} - 7 2^{2}

6^2\times 6

6^{2} \times 6

Frequently Asked Questions (FAQ)

What is (5 1/10)(1-12/17) ?
The solution to (5 1/10)(1-12/17) is 1 1/2