What is (2-1/4)\times 1/14 ?

The solution to (2-1/4)\times 1/14 is 1/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2-1/4)\times 1/14

(2 - \frac{1}{4}) \cdot \frac{1}{14}

\frac{1}{8}

Solution steps

(2 - \frac{1}{4}) \frac{1}{14}

Follow the PEMDAS order of operations

Calculate within parentheses

(2 - \frac{1}{4}) : \frac{7}{4}

2 - \frac{1}{4}

2 - \frac{1}{4} = \frac{7}{4}

2 - \frac{1}{4}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

2 \cdot 4 - 1 = 7

2 \cdot 4 - 1

Multiply the numbers:

2 \cdot 4 = 8

= 8 - 1

Subtract the numbers:

8 - 1 = 7

= 7

= \frac{7}{4}

= \frac{7}{4}

= \frac{7}{4} \cdot \frac{1}{14}

Multiply and divide (left to right)

\frac{7}{4} \cdot \frac{1}{14} : \frac{1}{8}

\frac{7}{4} \cdot \frac{1}{14}

Apply the fraction rule:

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

= \frac{7 \cdot 1}{4 \cdot 14}

Cancel

\frac{7 \cdot 1}{4 \cdot 14} : \frac{1}{8}

\frac{7 \cdot 1}{4 \cdot 14}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{7}{4 \cdot 14}

Cancel the numbers:

\frac{7}{14} = \frac{1}{2}

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

Multiply the numbers:

4 \cdot 2 = 8

= \frac{1}{8}

= \frac{1}{8}

= \frac{1}{8}

2 \times 7 - 5 \times 4 + 3 \times 6 - 2 \times 11 + 13

25 - (8 - 5 + 3) - (12 - 5 - 8)

1 (3 + 6) - 45 \div (7 + 8)

3 (4)^{2} + 1

8 + 10 \cdot 3