What is [ 9/4+(5/2)/(2/3)] ?

The solution to [ 9/4+(5/2)/(2/3)] is 6

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simplify [ 9/4+(5/2)/(2/3)]

simplify

[\frac{9}{4} + \frac{\frac{5}{2}}{\frac{2}{3}}]

6

Solution steps

\frac{9}{4} + \frac{\frac{5}{2}}{\frac{2}{3}}

\frac{\frac{5}{2}}{\frac{2}{3}} = \frac{15}{4}

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

Apply the fraction rule:

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

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

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{15}{4}

= \frac{9}{4} + \frac{15}{4}

\frac{9}{4} + \frac{15}{4} = 6

\frac{9}{4} + \frac{15}{4}

Apply the fraction rule:

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

= \frac{9 + 15}{4}

Add the numbers:

9 + 15 = 24

= \frac{24}{4}

Divide the numbers:

\frac{24}{4} = 6

= 6

= 6

2 (6)^{2} + 4

2 - (- 2 - 3)

62 - 3 (8)

\frac{1}{4} (1 - \frac{9}{5})

2^{3} \div 3^{3}