What is 5(5+3\div 6) ?

The solution to 5(5+3\div 6) is 27 1/2

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Popular Pre Algebra >

5(5+3\div 6)

Solution

5 (5 + 3 \div 6)

Solution

27 \frac{1}{2}

Decimal

27.5

Solution steps

5 (5 + 3 \div 6)

Follow the PEMDAS order of operations

Calculate within parentheses

(5 + 3 \div 6) : \frac{11}{2}

5 + 3 \div 6

Multiply and divide (left to right)

3 \div 6 : \frac{3}{6}

3 \div 6

3 \div 6 = \frac{3}{6}

= \frac{3}{6}

= 5 + \frac{3}{6}

Add and subtract (left to right)

5 + \frac{3}{6} : \frac{11}{2}

5 + \frac{3}{6}

5 + \frac{3}{6} = \frac{11}{2}

5 + \frac{3}{6}

Cancel

\frac{3}{6} : \frac{1}{2}

\frac{3}{6}

Cancel the common factor:

3

= \frac{1}{2}

= 5 + \frac{1}{2}

Convert element to fraction:

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

= \frac{5 \cdot 2}{2} + \frac{1}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 2 + 1}{2}

5 \cdot 2 + 1 = 11

5 \cdot 2 + 1

Multiply the numbers:

5 \cdot 2 = 10

= 10 + 1

Add the numbers:

10 + 1 = 11

= 11

= \frac{11}{2}

= \frac{11}{2}

= \frac{11}{2}

= 5 \cdot \frac{11}{2}

Multiply and divide (left to right)

5 \cdot \frac{11}{2} : \frac{55}{2}

5 \cdot \frac{11}{2}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \cdot \frac{11}{2}

Apply the fraction rule:

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

= \frac{5 \cdot 11}{1 \cdot 2}

Multiply the numbers:

5 \cdot 11 = 55

= \frac{55}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{55}{2}

= \frac{55}{2}

Convert improper fractions to mixed numbers:

\frac{55}{2} = 27 \frac{1}{2}

\frac{55}{2} = 27

Remainder

1

\frac{55}{2}

Write the problem in long division format

2 \overline{∣ 55}

Divide

5

2

to get

2

Divide

5

2

to get

2

2 2 \overline{∣ 55}

Multiply the quotient digit

(2)

by the divisor

2

2 2 \overline{∣ 55} \underline{4}

Subtract

4

from

5

2 2 \overline{∣ 55} \underline{4} 1

Bring down the next number of the dividend

2 2 \overline{∣ 55} \underline{4} 15

2 2 \overline{∣ 55} \underline{4} 15

Divide

15

2

to get

7

Divide

15

2

to get

7

27 2 \overline{∣ 55} \underline{4} 15

Multiply the quotient digit

(7)

by the divisor

2

27 2 \overline{∣ 55} \underline{4} 15 \underline{14}

Subtract

14

from

15

27 2 \overline{∣ 55} \underline{4} 15 \underline{14} 1

27 2 \overline{∣ 55} \underline{4} 15 \underline{14} 1

The solution for Long Division of

\frac{55}{2}

27

with remainder of

1

27 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{55}{2} = 27 \frac{1}{2}

= 27 \frac{1}{2}

= 27 \frac{1}{2}

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-16+44+3-12

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20+13-12+11-10+7× 5-12\div 3× 2

4+(2× 3)^2

Frequently Asked Questions (FAQ)

What is 5(5+3\div 6) ?
The solution to 5(5+3\div 6) is 27 1/2

5(5+3\div 6)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 5(5+3\div 6) ?

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