What is (7/6)/(2/3) ?

The solution to (7/6)/(2/3) is 1 3/4

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Popular >

Divide (7/6)÷(2/3)

Solution

(7/6) / (2/3)

Solution

1 \frac{3}{4}

Solution steps

(7/6) / (2/3)

Follow the PEMDAS order of operations

Calculate within parentheses

(7/6) : \frac{7}{6}

7/6

7/6 = \frac{7}{6}

= \frac{7}{6}

= \frac{7}{6} / (2/3)

Calculate within parentheses

(2/3) : \frac{2}{3}

2/3

2/3 = \frac{2}{3}

= \frac{2}{3}

= \frac{7}{6} / \frac{2}{3}

Multiply and divide (left to right)

\frac{7}{6} / \frac{2}{3} : \frac{7}{4}

\frac{7}{6} / \frac{2}{3}

Apply the fraction rule:

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

= \frac{7}{6} \cdot \frac{3}{2}

Cross-cancel common factor:

3

3, 6

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

The prime factors common to

3, 6

are

= 3

= \frac{7}{2} \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{7 \cdot 1}{2 \cdot 2}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{7}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{7}{4}

= \frac{7}{4}

Convert improper fractions to mixed numbers:

\frac{7}{4} = 1 \frac{3}{4}

\frac{7}{4} = 1

Remainder

3

\frac{7}{4}

Write the problem in long division format

4 \overline{∣ 7}

Divide

7

4

to get

1

Divide

7

4

to get

1

1 4 \overline{∣ 7}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 7} \underline{4}

Subtract

4

from

7

1 4 \overline{∣ 7} \underline{4} 3

1 4 \overline{∣ 7} \underline{4} 3

The solution for Long Division of

\frac{7}{4}

1

with remainder of

3

1 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{4} = 1 \frac{3}{4}

= 1 \frac{3}{4}

= 1 \frac{3}{4}

Popular Examples

Convert to an Improper Fraction 2.5 improper fraction

2.5

Convert to a Percentage 1/15 convert

t o a p erce n t a g e 1/15

175/150 long division

\frac{175}{150}

Convert to a Percentage 1.6 convert

t o a p erce n t a g e 1.6

Convert to a Mixed Number 48/25 mixed number

\frac{48}{25}

Frequently Asked Questions (FAQ)

What is (7/6)/(2/3) ?
The solution to (7/6)/(2/3) is 1 3/4