The solution to (1/6)/5 is 1/30

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Write the Fraction in Simplest Form (1/6)÷5

Solution

(1/6) /5

\frac{1}{30}

Solution steps

(1/6) /5

Follow the PEMDAS order of operations

Calculate within parentheses

(1/6) : \frac{1}{6}

1/6

1/6 = \frac{1}{6}

= \frac{1}{6}

= \frac{1}{6} /5

Multiply and divide (left to right)

\frac{1}{6} /5 : \frac{1}{30}

\frac{1}{6} /5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{1}{6} \div \frac{5}{1}

Apply the fraction rule:

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

= \frac{1}{6} \cdot \frac{1}{5}

Multiply fractions:

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

= \frac{1 \cdot 1}{6 \cdot 5}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{6 \cdot 5}

Multiply the numbers:

6 \cdot 5 = 30

= \frac{1}{30}

= \frac{1}{30}

\frac{2}{3}

18.75

\frac{2.5}{3}

\frac{60}{2}

\frac{22}{8}