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Popular Pre Algebra >

Evaluate (4/6)(4/6)

Solution

(4/6) (4/6)

Solution

\frac{4}{9}

+1

Decimal

0.44444 \dots

Solution steps

(4/6) (4/6)

Follow the PEMDAS order of operations

Calculate within parentheses

(4/6) : \frac{4}{6}

4/6

4/6 = \frac{4}{6}

= \frac{4}{6}

= \frac{4}{6} (4/6)

Calculate within parentheses

(4/6) : \frac{4}{6}

4/6

4/6 = \frac{4}{6}

= \frac{4}{6}

= \frac{4}{6} \cdot \frac{4}{6}

Multiply and divide (left to right)

\frac{4}{6} \cdot \frac{4}{6} : \frac{4}{9}

\frac{4}{6} \cdot \frac{4}{6}

Cancel

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

\frac{4}{6}

Factor the number:

4 = 2 \cdot 2

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

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

= \frac{2}{3}

= \frac{2}{3} \cdot \frac{4}{6}

Cancel

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

\frac{4}{6}

Factor the number:

4 = 2 \cdot 2

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

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

= \frac{2}{3}

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

\frac{2}{3} \cdot \frac{2}{3} = \frac{4}{9}

\frac{2}{3} \cdot \frac{2}{3}

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{4}{9}

= \frac{4}{9}

= \frac{4}{9}

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Frequently Asked Questions (FAQ)

What is (4/6)(4/6) ?
The solution to (4/6)(4/6) is 4/9

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