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Popular >

5/2+3*2/4

Solution

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

4

Solution steps

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

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

Cancel the common factor:

2

\frac{1}{2}

= \frac{5}{2} + 3 \cdot \frac{1}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

3 \cdot \frac{1}{2}

Convert element to fraction:

3 = \frac{3}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 1 = 3

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

Multiply the numbers:

1 \cdot 2 = 2

= \frac{3}{2}

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

Add and subtract (left to right)

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

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

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

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

Apply rule

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

= \frac{5 + 3}{2}

Add the numbers:

5 + 3 = 8

= \frac{8}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4

= 4

= 4

93428 7^{2} - 93428 6^{2}

18 - 4 \div 2^{2} \times 12

64 \div 2^{4}

28 - 54 + 65

(- 5 - (- 1))^{2}