What is 5\div (2/4+1) ?

The solution to 5\div (2/4+1) is 3 1/3

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Popular >

5\div (2/4+1)

Solution

5 \div (\frac{2}{4} + 1)

Solution

3 \frac{1}{3}

Solution steps

5 \div (\frac{2}{4} + 1)

\frac{2}{4} = \frac{1}{2}

Cancel the common factor:

2

\frac{1}{2}

= 5 \div (\frac{1}{2} + 1)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} + 1) : \frac{3}{2}

\frac{1}{2} + 1

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

\frac{1}{2} + 1

Convert element to fraction:

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

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

1 \cdot 2 + 1 = 3

1 \cdot 2 + 1

Multiply the numbers:

1 \cdot 2 = 2

= 2 + 1

Add the numbers:

2 + 1 = 3

= 3

= \frac{3}{2}

= \frac{3}{2}

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

Multiply and divide (left to right)

5 \div \frac{3}{2} : \frac{10}{3}

5 \div \frac{3}{2}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \div \frac{3}{2}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{5}{1} \cdot \frac{2}{3}

Multiply fractions:

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

= \frac{5 \cdot 2}{1 \cdot 3}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{10}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{10}{3}

= \frac{10}{3}

Convert improper fractions to mixed numbers:

\frac{10}{3} = 3 \frac{1}{3}

\frac{10}{3} = 3

Remainder

1

\frac{10}{3}

Write the problem in long division format

3 \overline{∣ 10}

Divide

10

3

to get

3

Divide

10

3

to get

3

3 3 \overline{∣ 10}

Multiply the quotient digit

(3)

by the divisor

3

3 3 \overline{∣ 10} \underline{9}

Subtract

9

from

10

3 3 \overline{∣ 10} \underline{9} 1

3 3 \overline{∣ 10} \underline{9} 1

The solution for Long Division of

\frac{10}{3}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{10}{3} = 3 \frac{1}{3}

= 3 \frac{1}{3}

= 3 \frac{1}{3}

Popular Examples

7/5-(1/3+1/5)

\frac{7}{5} - (\frac{1}{3} + \frac{1}{5})

(2+7-9)(3-1+2)

(2 + 7 - 9) (3 - 1 + 2)

-7^2+4(-7)-5

- 7^{2} + 4 (- 7) - 5

2+4-8/3

2 + 4 - \frac{8}{3}

10^5+10^5

1 0^{5} + 1 0^{5}

Frequently Asked Questions (FAQ)

What is 5\div (2/4+1) ?
The solution to 5\div (2/4+1) is 3 1/3