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Popular >

Write the Fraction in Simplest Form 36÷(3/4)

Solution

36/ (3/4)

48

Solution steps

36/ (3/4)

Follow the PEMDAS order of operations

Calculate within parentheses

(3/4) : \frac{3}{4}

3/4

3/4 = \frac{3}{4}

= \frac{3}{4}

= 36/ \frac{3}{4}

Multiply and divide (left to right)

36/ \frac{3}{4} : 48

36/ \frac{3}{4}

Convert element to fraction:

36 = \frac{36}{1}

= \frac{36}{1} \div \frac{3}{4}

Apply the fraction rule:

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

= \frac{36}{1} \cdot \frac{4}{3}

Cross-cancel common factor:

3

= \frac{12}{1} \cdot \frac{4}{1}

Multiply fractions:

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

= \frac{12 \cdot 4}{1 \cdot 1}

Multiply the numbers:

12 \cdot 4 = 48

= \frac{48}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{48}{1}

Apply rule

\frac{a}{1} = a

= 48

= 48

180 - 142

\frac{45}{48}

\frac{23}{7}

\frac{85}{9}

\frac{14}{25}