The solution to 2*1/4+1/4 is 3/4

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2*1/4+1/4

Solution

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

Solution

\frac{3}{4}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

2 \cdot \frac{1}{4}

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

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

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

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

Multiply the numbers:

1 \cdot 4 = 4

= \frac{2}{4}

= \frac{2}{4}

Cancel the numbers:

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

= \frac{1}{2}

= \frac{1}{2}

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

Add and subtract (left to right)

\frac{1}{2} + \frac{1}{4} : \frac{3}{4}

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

\frac{1}{2} + \frac{1}{4} = \frac{3}{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}

Add the numbers:

2 + 1 = 3

= \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4}

Popular Examples

4+(2*3)^2

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

5(-5)-2(-12)

5 (- 5) - 2 (- 12)

(14+6)+(10\div 2)^2

(14 + 6) + (10 \div 2)^{2}

-7(0)+4

- 7 (0) + 4

3+(6(11+1-4))\div 8\times 2

3 + (6 (11 + 1 - 4)) \div 8 \times 2

Frequently Asked Questions (FAQ)

What is 2*1/4+1/4 ?
The solution to 2*1/4+1/4 is 3/4

2*1/4+1/4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2*1/4+1/4 ?