What is 3\times (-2/5 \times 1/4) ?

The solution to 3\times (-2/5 \times 1/4) is -3/10

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3\times (-2/5 \times 1/4)

3 \cdot (- \frac{2}{5} \cdot \frac{1}{4})

- \frac{3}{10}

Solution steps

3 (- \frac{2}{5} \cdot \frac{1}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{2}{5} \cdot \frac{1}{4}) : - \frac{1}{10}

- \frac{2}{5} \cdot \frac{1}{4}

- \frac{2}{5} \cdot \frac{1}{4} = - \frac{1}{10}

- \frac{2}{5} \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}{5} \cdot \frac{1}{2}

Multiply fractions:

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

= - \frac{1 \cdot 1}{5 \cdot 2}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= - \frac{1}{10}

= - \frac{1}{10}

= 3 (- \frac{1}{10})

Multiply and divide (left to right)

3 (- \frac{1}{10}) : - \frac{3}{10}

3 (- \frac{1}{10})

Apply rule

a \cdot (- b) = - a \cdot b

3 (- \frac{1}{10}) = - 3 \cdot \frac{1}{10}

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{3}{1} \cdot \frac{1}{10}

Apply the fraction rule:

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

\frac{3}{1} \cdot \frac{1}{10} = \frac{3 \cdot 1}{1 \cdot 10}

= - \frac{3 \cdot 1}{1 \cdot 10}

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{3}{1 \cdot 10}

Multiply the numbers:

1 \cdot 10 = 10

= - \frac{3}{10}

= - \frac{3}{10}

- (4 - 4) + 5

- 4 - 7 + 5

(4^{3} \div 2^{4})^{2}

2^{3} \cdot 3 \cdot 7^{2}

\frac{( 18 + 8 ) 5}{2}

What is 3\times (-2/5 \times 1/4) ?
The solution to 3\times (-2/5 \times 1/4) is -3/10