What is 3/8 (4-2)+5/16 (8-4) ?

The solution to 3/8 (4-2)+5/16 (8-4) is 2

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3/8 (4-2)+5/16 (8-4)

\frac{3}{8} (4 - 2) + \frac{5}{16} (8 - 4)

2

Solution steps

\frac{3}{8} (4 - 2) + \frac{5}{16} (8 - 4)

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 2) : 2

4 - 2

4 - 2 = 2

= 2

= \frac{3}{8} \cdot 2 + \frac{5}{16} (8 - 4)

Calculate within parentheses

(8 - 4) : 4

8 - 4

8 - 4 = 4

= 4

= \frac{3}{8} \cdot 2 + \frac{5}{16} \cdot 4

Multiply and divide (left to right)

\frac{3}{8} \cdot 2 : \frac{3}{4}

\frac{3}{8} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{3}{8} \cdot \frac{2}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 2}{8 \cdot 1}

\frac{3 \cdot 2}{8 \cdot 1} = \frac{3}{4}

\frac{3 \cdot 2}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{3 \cdot 2}{8}

Factor the number:

8 = 2 \cdot 4

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

Cancel the common factor:

2

= \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4} + \frac{5}{16} \cdot 4

Multiply and divide (left to right)

\frac{5}{16} \cdot 4 : \frac{5}{4}

\frac{5}{16} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{5}{16} \cdot \frac{4}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 4}{16 \cdot 1}

\frac{5 \cdot 4}{16 \cdot 1} = \frac{5}{4}

\frac{5 \cdot 4}{16 \cdot 1}

Multiply the numbers:

16 \cdot 1 = 16

= \frac{5 \cdot 4}{16}

Factor the number:

16 = 4 \cdot 4

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

Cancel the common factor:

4

= \frac{5}{4}

= \frac{5}{4}

= \frac{3}{4} + \frac{5}{4}

Add and subtract (left to right)

\frac{3}{4} + \frac{5}{4} : 2

\frac{3}{4} + \frac{5}{4}

\frac{3}{4} + \frac{5}{4} = 2

\frac{3}{4} + \frac{5}{4}

Apply rule

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

= \frac{3 + 5}{4}

Add the numbers:

3 + 5 = 8

= \frac{8}{4}

Divide the numbers:

\frac{8}{4} = 2

= 2

= 2

= 2

(2)^{2} - 4

560 \div 10 - 18 \times 2 + 15

- \frac{1}{3} + \frac{3}{5} - 1 + \frac{3}{2}

2 5^{2} - 1 5^{2}

0^{2} - 2