What is 2/5*(3/4*2) ?

The solution to 2/5*(3/4*2) is 3/5

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2/5(3/42)

\frac{2}{5} \cdot (\frac{3}{4} \cdot 2)

\frac{3}{5}

Solution steps

\frac{2}{5} (\frac{3}{4} \cdot 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{4} \cdot 2) : \frac{3}{2}

\frac{3}{4} \cdot 2

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

\frac{3}{4} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

2, 4

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

The prime factors common to

2, 4

are

= 2

= \frac{3}{2}

= \frac{3}{2}

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

Multiply and divide (left to right)

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

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

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

= \frac{3}{5}

= \frac{3}{5}

5^{2} - 5

5^{2} - 1

2^{32} - 1

(2)^{2} + 1

6 \times 3^{2}