What is (3-2 1/4)\times 2/7 ?

The solution to (3-2 1/4)\times 2/7 is 3/14

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(3-2 1/4)\times 2/7

(3 - 2 \frac{1}{4}) \cdot \frac{2}{7}

\frac{3}{14}

Solution steps

(3 - 2 \frac{1}{4}) \cdot \frac{2}{7}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

2 \frac{1}{4}

Convert mixed numbers to improper fraction:

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

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

= \frac{9}{4}

= (3 - \frac{9}{4}) \cdot \frac{2}{7}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - \frac{9}{4}) : \frac{3}{4}

3 - \frac{9}{4}

3 - \frac{9}{4} = \frac{3}{4}

3 - \frac{9}{4}

Convert element to fraction:

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

= \frac{3 \cdot 4}{4} - \frac{9}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 4 - 9}{4}

3 \cdot 4 - 9 = 3

3 \cdot 4 - 9

Multiply the numbers:

3 \cdot 4 = 12

= 12 - 9

Subtract the numbers:

12 - 9 = 3

= 3

= \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4} \cdot \frac{2}{7}

Multiply and divide (left to right)

\frac{3}{4} \cdot \frac{2}{7} : \frac{3}{14}

\frac{3}{4} \cdot \frac{2}{7}

Apply the fraction rule:

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

= \frac{3 \cdot 2}{4 \cdot 7}

Cancel

\frac{3 \cdot 2}{4 \cdot 7} : \frac{3}{14}

\frac{3 \cdot 2}{4 \cdot 7}

Factor the number:

4 = 2 \cdot 2

= \frac{3 \cdot 2}{2 \cdot 2 \cdot 7}

Cancel the common factor:

2

= \frac{3}{2 \cdot 7}

Multiply the numbers:

2 \cdot 7 = 14

= \frac{3}{14}

= \frac{3}{14}

= \frac{3}{14}

5 \times 4 - 2

(- 4 + 3)^{2}

1^{3} + 2

1^{3} + 8

7 \times (4 + 3) - 42