What is 1/4 \times 9-1/8 \times 9 ?

The solution to 1/4 \times 9-1/8 \times 9 is 1 1/8

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Popular >

1/4 \times 9-1/8 \times 9

Solution

\frac{1}{4} \cdot 9 - \frac{1}{8} \cdot 9

Solution

1 \frac{1}{8}

Solution steps

\frac{1}{4} \cdot 9 - \frac{1}{8} \cdot 9

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{4} \cdot 9 : \frac{9}{4}

\frac{1}{4} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 9 = 9

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

Multiply the numbers:

4 \cdot 1 = 4

= \frac{9}{4}

= \frac{9}{4} - \frac{1}{8} \cdot 9

Multiply and divide (left to right)

\frac{1}{8} \cdot 9 : \frac{9}{8}

\frac{1}{8} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

= \frac{1}{8} \cdot \frac{9}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 9}{8 \cdot 1}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{9}{8}

= \frac{9}{4} - \frac{9}{8}

Add and subtract (left to right)

\frac{9}{4} - \frac{9}{8} : \frac{9}{8}

\frac{9}{4} - \frac{9}{8}

\frac{9}{4} - \frac{9}{8} = \frac{9}{8}

\frac{9}{4} - \frac{9}{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{9}{4} :

multiply the denominator and numerator by

2

\frac{9}{4} = \frac{9 \cdot 2}{4 \cdot 2} = \frac{18}{8}

= \frac{18}{8} - \frac{9}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{18 - 9}{8}

Subtract the numbers:

18 - 9 = 9

= \frac{9}{8}

= \frac{9}{8}

= \frac{9}{8}

Convert improper fractions to mixed numbers:

\frac{9}{8} = 1 \frac{1}{8}

\frac{9}{8} = 1

Remainder

1

\frac{9}{8}

Write the problem in long division format

8 \overline{∣ 9}

Divide

9

8

to get

1

Divide

9

8

to get

1

1 8 \overline{∣ 9}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 9} \underline{8}

Subtract

8

from

9

1 8 \overline{∣ 9} \underline{8} 1

1 8 \overline{∣ 9} \underline{8} 1

The solution for Long Division of

\frac{9}{8}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{9}{8} = 1 \frac{1}{8}

= 1 \frac{1}{8}

= 1 \frac{1}{8}

Popular Examples

4^5*4

4^{5} \cdot 4

4-(2\times (3-5)-(5-2)\times (-7+4\div 2))

4 - (2 \times (3 - 5) - (5 - 2) \times (- 7 + 4 \div 2))

72\div (-3)\div (-2)+352\div (2-13)

72 \div (- 3) \div (- 2) + 352 \div (2 - 13)

4-[2\times (3-5)-(5-2)\times (-7+4\div 2)]

4 - [2 \times (3 - 5) - (5 - 2) \times (- 7 + 4 \div 2)]

-18+25-(-10)+(-9)

- 18 + 25 - (- 10) + (- 9)

Frequently Asked Questions (FAQ)

What is 1/4 \times 9-1/8 \times 9 ?
The solution to 1/4 \times 9-1/8 \times 9 is 1 1/8