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

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

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1/4 \times (1+3/5)

\frac{1}{4} \cdot (1 + \frac{3}{5})

\frac{2}{5}

Solution steps

\frac{1}{4} (1 + \frac{3}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 + \frac{3}{5}) : \frac{8}{5}

1 + \frac{3}{5}

1 + \frac{3}{5} = \frac{8}{5}

1 + \frac{3}{5}

Convert element to fraction:

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

= \frac{1 \cdot 5}{5} + \frac{3}{5}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 5 + 3}{5}

1 \cdot 5 + 3 = 8

1 \cdot 5 + 3

Multiply the numbers:

1 \cdot 5 = 5

= 5 + 3

Add the numbers:

5 + 3 = 8

= 8

= \frac{8}{5}

= \frac{8}{5}

= \frac{1}{4} \cdot \frac{8}{5}

Multiply and divide (left to right)

\frac{1}{4} \cdot \frac{8}{5} : \frac{2}{5}

\frac{1}{4} \cdot \frac{8}{5}

Apply the fraction rule:

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

= \frac{1 \cdot 8}{4 \cdot 5}

\frac{1 \cdot 8}{4 \cdot 5} = \frac{2}{5}

\frac{1 \cdot 8}{4 \cdot 5}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{4 \cdot 5}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 2}{4 \cdot 5}

Cancel the common factor:

4

= \frac{2}{5}

= \frac{2}{5}

= \frac{2}{5}

(4)^{2} - 2 (4)

2 (2)^{5}

(5 \cdot 4)^{3}

180 - 90 - 30

180 - 90 - 39