The solution to 2/(5/12) is 4 4/5

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Popular >

Divide 2÷(5/12)

Solution

2/ (5/12)

Solution

4 \frac{4}{5}

Solution steps

2/ (5/12)

Follow the PEMDAS order of operations

Calculate within parentheses

(5/12) : \frac{5}{12}

5/12

5/12 = \frac{5}{12}

= \frac{5}{12}

= 2/ \frac{5}{12}

Multiply and divide (left to right)

2/ \frac{5}{12} : \frac{24}{5}

2/ \frac{5}{12}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \div \frac{5}{12}

Apply the fraction rule:

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

= \frac{2}{1} \cdot \frac{12}{5}

Multiply fractions:

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

= \frac{2 \cdot 12}{1 \cdot 5}

Multiply the numbers:

2 \cdot 12 = 24

= \frac{24}{1 \cdot 5}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{24}{5}

= \frac{24}{5}

Convert improper fractions to mixed numbers:

\frac{24}{5} = 4 \frac{4}{5}

\frac{24}{5} = 4

Remainder

4

\frac{24}{5}

Write the problem in long division format

5 \overline{∣ 24}

Divide

24

5

to get

4

Divide

24

5

to get

4

4 5 \overline{∣ 24}

Multiply the quotient digit

(4)

by the divisor

5

4 5 \overline{∣ 24} \underline{20}

Subtract

20

from

24

4 5 \overline{∣ 24} \underline{20} 4

4 5 \overline{∣ 24} \underline{20} 4

The solution for Long Division of

\frac{24}{5}

4

with remainder of

4

4 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{24}{5} = 4 \frac{4}{5}

= 4 \frac{4}{5}

= 4 \frac{4}{5}

Popular Examples

Convert to a Mixed Number 63/8 mixed number

\frac{63}{8}

180/12 long division

\frac{180}{12}

Multiply 3.14*12 long multiplication

3.14 \cdot 12

Subtract 180-64 long subtraction

180 - 64

Convert to a Simplified Fraction 0.333 decimal to fraction

0.333

Frequently Asked Questions (FAQ)

What is 2/(5/12) ?
The solution to 2/(5/12) is 4 4/5

Divide 2÷(5/12)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2/(5/12) ?