What is 10*1/3 \div 25/6 ?

The solution to 10*1/3 \div 25/6 is 4/5

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10*1/3 \div 25/6

10 \cdot \frac{1}{3} \div \frac{25}{6}

\frac{4}{5}

Solution steps

10 \cdot \frac{1}{3} \div \frac{25}{6}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

10 \cdot \frac{1}{3} = \frac{10}{3}

10 \cdot \frac{1}{3}

Convert element to fraction:

10 = \frac{10}{1}

= \frac{10}{1} \cdot \frac{1}{3}

Apply the fraction rule:

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

= \frac{10 \cdot 1}{1 \cdot 3}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{10}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{10}{3}

= \frac{10}{3} \div \frac{25}{6}

\frac{10}{3} \div \frac{25}{6} = \frac{4}{5}

\frac{10}{3} \div \frac{25}{6}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{10}{3} \cdot \frac{6}{25}

Multiply fractions:

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

= \frac{10 \cdot 6}{3 \cdot 25}

Multiply the numbers:

10 \cdot 6 = 60

= \frac{60}{3 \cdot 25}

Multiply the numbers:

3 \cdot 25 = 75

= \frac{60}{75}

Cancel the common factor:

15

= \frac{4}{5}

= \frac{4}{5}

15 - 3 \times 12 \div 6 + 42 \div 8

(8 - 4) \cdot 4

5^{2} \cdot 4^{0} - 3 \cdot 3^{2}

3 \times (2 - 5) + 2 \times ((- 3) - (- 1))

\frac{( 56 + 2 ^{3} )}{2 ^{3}}