What is 2/3\times 1/4 ?

The solution to 2/3\times 1/4 is 1/6

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2/3\times 1/4

2/3 \times 1/4

\frac{1}{6}

Solution steps

2/3 \times 1/4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

= \frac{2}{3} \times 1/4

\frac{2}{3} \times 1 = \frac{2}{3}

= \frac{2}{3} /4

\frac{2}{3} /4 = \frac{1}{6}

\frac{2}{3} /4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{2}{3} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{2}{3} \cdot \frac{1}{4}

Cross-cancel common factor:

2

2, 4

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

The prime factors common to

2, 4

are

= 2

= \frac{1}{3} \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 1}{3 \cdot 2}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{6}

= \frac{1}{6}

\frac{72}{8} + 3 - 4 (\frac{2}{9}) - 8 + 6 + 4

6 (- 1) + 3

(11 + 22 - 9) \div (6 - 3)

10 - 12 + 3 (- 15) - 21 \div 7

- (- 2 - 6)