What is (4-1/4)*8/15 ?

The solution to (4-1/4)*8/15 is 2

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(4-1/4)*8/15

(4 - \frac{1}{4}) \cdot \frac{8}{15}

2

Solution steps

(4 - \frac{1}{4}) \frac{8}{15}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - \frac{1}{4}) : \frac{15}{4}

4 - \frac{1}{4}

4 - \frac{1}{4} = \frac{15}{4}

4 - \frac{1}{4}

Convert element to fraction:

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

= \frac{4 \cdot 4}{4} - \frac{1}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 4 - 1}{4}

4 \cdot 4 - 1 = 15

4 \cdot 4 - 1

Multiply the numbers:

4 \cdot 4 = 16

= 16 - 1

Subtract the numbers:

16 - 1 = 15

= 15

= \frac{15}{4}

= \frac{15}{4}

= \frac{15}{4} \cdot \frac{8}{15}

Multiply and divide (left to right)

\frac{15}{4} \cdot \frac{8}{15} : 2

\frac{15}{4} \cdot \frac{8}{15}

Cross-cancel common factor:

15

= \frac{8}{4}

Divide the numbers:

\frac{8}{4} = 2

= 2

= 2

3 (3 + 2)

2 (5)^{2} - 1

7^{2} + 9

7^{2} + 4

7^{2} + 2