What is 9/14-4\times 1/2 \div 7 ?

The solution to 9/14-4\times 1/2 \div 7 is 5/14

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Popular >

9/14-4\times 1/2 \div 7

Solution

\frac{9}{14} - 4 \times \frac{1}{2} \div 7

Solution

\frac{5}{14}

Solution steps

\frac{9}{14} - 4 \times \frac{1}{2} \div 7

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 \times \frac{1}{2} \div 7 : \frac{2}{7}

4 \times \frac{1}{2} \div 7

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

4 \cdot \frac{1}{2}

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

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

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

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

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

Multiply the numbers:

4 \cdot 1 = 4

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

Multiply the numbers:

1 \cdot 2 = 2

= \frac{4}{2}

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= 2

= 2 \div 7

2 \div 7 = \frac{2}{7}

= \frac{2}{7}

= \frac{9}{14} - \frac{2}{7}

Add and subtract (left to right)

\frac{9}{14} - \frac{2}{7} : \frac{5}{14}

\frac{9}{14} - \frac{2}{7}

\frac{9}{14} - \frac{2}{7} = \frac{5}{14}

\frac{9}{14} - \frac{2}{7}

Least Common Multiplier of

14, 7 : 14

14, 7

Least Common Multiplier (LCM)

Prime factorization of

14 : 2 \cdot 7

14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 7

Prime factorization of

7 : 7

7

7

is a prime number, therefore no factorization is possible

= 7

Multiply each factor the greatest number of times it occurs in either

14

7

= 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 14

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

14

For

\frac{2}{7} :

multiply the denominator and numerator by

2

\frac{2}{7} = \frac{2 \cdot 2}{7 \cdot 2} = \frac{4}{14}

= \frac{9}{14} - \frac{4}{14}

Since the denominators are equal, combine the fractions:

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

= \frac{9 - 4}{14}

Subtract the numbers:

9 - 4 = 5

= \frac{5}{14}

= \frac{5}{14}

= \frac{5}{14}

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(19 - 4) + 14

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4(-7)+1

4 (- 7) + 1

3\times (5+2)

3 \times (5 + 2)

532+2*(4^3-4^2)^2

532 + 2 \cdot (4^{3} - 4^{2})^{2}

Frequently Asked Questions (FAQ)

What is 9/14-4\times 1/2 \div 7 ?
The solution to 9/14-4\times 1/2 \div 7 is 5/14