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Popular >

simplify 1/2+3/4

Solution

simplify

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

\frac{5}{4}

Decimal Notation

1.25

Solution steps

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

Apply the fraction rule:

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

= \frac{2 + 3}{4}

Add the numbers:

2 + 3 = 5

= \frac{5}{4}

- 4 + 1 + 5 + (9) (9)

4 (11) - 2

9 + 4 - 3 \times 18 \div 2

200 \div (200 \div (8 - 6) (5 - 3))

- 6 - 7 - 13 - 26 + 54 - 2