What is 1-1/3 \times 1/4 ?

The solution to 1-1/3 \times 1/4 is 11/12

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1-1/3 \times 1/4

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

\frac{11}{12}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} \cdot \frac{1}{4} : \frac{1}{12}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Multiply the numbers:

3 \cdot 4 = 12

= \frac{1}{12}

= 1 - \frac{1}{12}

Add and subtract (left to right)

1 - \frac{1}{12} : \frac{11}{12}

1 - \frac{1}{12}

1 - \frac{1}{12} = \frac{11}{12}

1 - \frac{1}{12}

Convert element to fraction:

1 = \frac{1 \cdot 12}{12}

= \frac{1 \cdot 12}{12} - \frac{1}{12}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 12 - 1}{12}

1 \cdot 12 - 1 = 11

1 \cdot 12 - 1

Multiply the numbers:

1 \cdot 12 = 12

= 12 - 1

Subtract the numbers:

12 - 1 = 11

= 11

= \frac{11}{12}

= \frac{11}{12}

= \frac{11}{12}

5 5^{2} - 4 5^{2}

- (0)^{2} + 3

5 (3) + 1

3 \times (- 5) - 6 \times (- 12)

+ 30 (10) - \frac{11}{2} (8)