The solution to 53+5(1/15) is 53 1/3

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Popular Pre Algebra >

53+5(1/15)

Solution

53 + 5 (\frac{1}{15})

Solution

53 \frac{1}{3}

Decimal

53.33333 \dots

Solution steps

53 + 5 (\frac{1}{15})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 (\frac{1}{15}) : \frac{1}{3}

5 (\frac{1}{15})

Apply rule:

(a) = a

(\frac{1}{15}) = \frac{1}{15}

= 5 \cdot \frac{1}{15}

5 \cdot \frac{1}{15} = \frac{1}{3}

5 \cdot \frac{1}{15}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \cdot \frac{1}{15}

Apply the fraction rule:

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

= \frac{5 \cdot 1}{1 \cdot 15}

\frac{5 \cdot 1}{1 \cdot 15} = \frac{1}{3}

\frac{5 \cdot 1}{1 \cdot 15}

\frac{5 \cdot 1}{1 \cdot 15} = \frac{5}{15}

\frac{5 \cdot 1}{1 \cdot 15}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5}{1 \cdot 15}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{5}{15}

= \frac{5}{15}

Cancel the numbers:

\frac{5}{15} = \frac{1}{3}

= \frac{1}{3}

= \frac{1}{3}

= \frac{1}{3}

= 53 + \frac{1}{3}

Add and subtract (left to right)

53 + \frac{1}{3} : \frac{160}{3}

53 + \frac{1}{3}

53 + \frac{1}{3} = \frac{160}{3}

53 + \frac{1}{3}

Convert element to fraction:

53 = \frac{53 \cdot 3}{3}

= \frac{53 \cdot 3}{3} + \frac{1}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{53 \cdot 3 + 1}{3}

53 \cdot 3 + 1 = 160

53 \cdot 3 + 1

Multiply the numbers:

53 \cdot 3 = 159

= 159 + 1

Add the numbers:

159 + 1 = 160

= 160

= \frac{160}{3}

= \frac{160}{3}

= \frac{160}{3}

Convert improper fractions to mixed numbers:

\frac{160}{3} = 53 \frac{1}{3}

\frac{160}{3} = 53

Remainder

1

\frac{160}{3}

Write the problem in long division format

3 \overline{∣ 160}

Divide

16

3

to get

5

Divide

16

3

to get

5

5 3 \overline{∣ 160}

Multiply the quotient digit

(5)

by the divisor

3

5 3 \overline{∣ 160} \underline{15}

Subtract

15

from

16

5 3 \overline{∣ 160} \underline{15} 1

Bring down the next number of the dividend

5 3 \overline{∣ 160} \underline{15} 10

5 3 \overline{∣ 160} \underline{15} 10

Divide

10

3

to get

3

Divide

10

3

to get

3

53 3 \overline{∣ 160} \underline{15} 10

Multiply the quotient digit

(3)

by the divisor

3

53 3 \overline{∣ 160} \underline{15} 10 \underline{9}

Subtract

9

from

10

53 3 \overline{∣ 160} \underline{15} 10 \underline{9} 1

53 3 \overline{∣ 160} \underline{15} 10 \underline{9} 1

The solution for Long Division of

\frac{160}{3}

53

with remainder of

1

53 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{160}{3} = 53 \frac{1}{3}

= 53 \frac{1}{3}

= 53 \frac{1}{3}

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(0)^2-2(0)-3

Frequently Asked Questions (FAQ)

What is 53+5(1/15) ?
The solution to 53+5(1/15) is 53 1/3

53+5(1/15)

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 53+5(1/15) ?

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