What is 1-1/2-1/4-1/8 ?

The solution to 1-1/2-1/4-1/8 is 1/8

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Popular >

1-1/2-1/4-1/8

Solution

1 - \frac{1}{2} - \frac{1}{4} - \frac{1}{8}

Solution

\frac{1}{8}

Solution steps

1 - \frac{1}{2} - \frac{1}{4} - \frac{1}{8}

Follow the PEMDAS order of operations

Add and subtract (left to right)

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

1 - \frac{1}{2}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

1 \cdot 2 - 1 = 1

1 \cdot 2 - 1

Multiply the numbers:

1 \cdot 2 = 2

= 2 - 1

Subtract the numbers:

2 - 1 = 1

= 1

= \frac{1}{2}

= \frac{1}{2} - \frac{1}{4} - \frac{1}{8}

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

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

Least Common Multiplier of

2, 4 : 4

2, 4

Least Common Multiplier (LCM)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

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

2

4

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

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

4

For

\frac{1}{2} :

multiply the denominator and numerator by

2

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

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

Subtract the numbers:

2 - 1 = 1

= \frac{1}{4}

= \frac{1}{4} - \frac{1}{8}

\frac{1}{4} - \frac{1}{8} = \frac{1}{8}

\frac{1}{4} - \frac{1}{8}

Least Common Multiplier of

4, 8 : 8

4, 8

Least Common Multiplier (LCM)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

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

4

8

= 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 = 8

= 8

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

8

For

\frac{1}{4} :

multiply the denominator and numerator by

2

\frac{1}{4} = \frac{1 \cdot 2}{4 \cdot 2} = \frac{2}{8}

= \frac{2}{8} - \frac{1}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{2 - 1}{8}

Subtract the numbers:

2 - 1 = 1

= \frac{1}{8}

= \frac{1}{8}

Popular Examples

1-1/2-1/4-1/6

1 - \frac{1}{2} - \frac{1}{4} - \frac{1}{6}

3^4-(-4)^2

3^{4} - (- 4)^{2}

11-5+6

11 - 5 + 6

(2511\div 27)-(270\div 5)+18

(2511 \div 27) - (270 \div 5) + 18

3(1)^2-4(1)-4

3 (1)^{2} - 4 (1) - 4

Frequently Asked Questions (FAQ)

What is 1-1/2-1/4-1/8 ?
The solution to 1-1/2-1/4-1/8 is 1/8