What is (2/5*3/10)*5 ?

The solution to (2/5*3/10)*5 is 3/5

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(2/53/10)5

(\frac{2}{5} \cdot \frac{3}{10}) \cdot 5

\frac{3}{5}

Solution steps

(\frac{2}{5} \cdot \frac{3}{10}) \cdot 5

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{2}{5} \cdot \frac{3}{10}) : \frac{3}{25}

\frac{2}{5} \cdot \frac{3}{10}

\frac{2}{5} \cdot \frac{3}{10} = \frac{3}{25}

\frac{2}{5} \cdot \frac{3}{10}

Cross-cancel common factor:

2

2, 10

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

The prime factors common to

2, 10

are

= 2

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

Multiply the numbers:

5 \cdot 5 = 25

= \frac{3}{25}

= \frac{3}{25}

= \frac{3}{25} \cdot 5

Multiply and divide (left to right)

\frac{3}{25} \cdot 5 : \frac{3}{5}

\frac{3}{25} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{3}{25} \cdot \frac{5}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 5}{25 \cdot 1}

\frac{3 \cdot 5}{25 \cdot 1} = \frac{3}{5}

\frac{3 \cdot 5}{25 \cdot 1}

Multiply the numbers:

25 \cdot 1 = 25

= \frac{3 \cdot 5}{25}

Factor the number:

25 = 5 \cdot 5

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

Cancel the common factor:

5

= \frac{3}{5}

= \frac{3}{5}

= \frac{3}{5}

7 (3) - 2 (4)

5^{2} - 7^{2} + 9^{2} - 1 1^{2} + 1 3^{2} - 1 5^{2}

1^{2} + 2 + 3^{2}

(- 8) + (- 2) - (- 8)

50000 \div 9000 \div 168750