What is 1/3 \times 4-3 ?

The solution to 1/3 \times 4-3 is -5/3

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1/3 \times 4-3

\frac{1}{3} \cdot 4 - 3

- \frac{5}{3}

Solution steps

\frac{1}{3} \cdot 4 - 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} \cdot 4 : \frac{4}{3}

\frac{1}{3} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 4 = 4

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

Multiply the numbers:

3 \cdot 1 = 3

= \frac{4}{3}

= \frac{4}{3} - 3

Add and subtract (left to right)

\frac{4}{3} - 3 : - \frac{5}{3}

\frac{4}{3} - 3

\frac{4}{3} - 3 = - \frac{5}{3}

\frac{4}{3} - 3

Convert element to fraction:

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

= - \frac{3 \cdot 3}{3} + \frac{4}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 3 \cdot 3 + 4}{3}

- 3 \cdot 3 + 4 = - 5

- 3 \cdot 3 + 4

Multiply the numbers:

3 \cdot 3 = 9

= - 9 + 4

Add/Subtract the numbers:

- 9 + 4 = - 5

= - 5

= \frac{- 5}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5}{3}

= - \frac{5}{3}

= - \frac{5}{3}

3 \div 2 \times 125

\frac{4}{3} \cdot 7^{3}

36 \div (8 \times 2 - (30 \div 5) + 4 \times 2)

5 ((- 5) - 1)

2 - \frac{1}{4} (2)^{2}