Answers

2015-03-24T21:25:21+08:00
The sum of 1/4 + 5/6 is 13/12 (in terms of ratio) or 1.083333333 
(in terms of decimal, the exact result)

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2015-03-31T16:42:54+08:00

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What is the sum of  \frac{1}{4} and  \frac{5}{6}?

 \frac{1}{4} +  \frac{5}{6}

First, we need to find the LCM (Least Common Multiple) of both denominators or to be exact, we need to find their LCD (Least Common Denominator).

4 = 4, 8, 12, 16, 20
6 = 6, 12, 18, 24, 30

So as we can see, their least common multiple is 12.

 \frac{1}{4} +  \frac{5}{6} =  \frac{}{12}

We need to apply the basic rules. First, divide 12 by the denominator of the first given fraction and then multiply the quotient by the numerator.

 \frac{1}{4} +  \frac{5}{6} =  \frac{3}{12}

Copy the sign.

 \frac{1}{4} +  \frac{5}{6} =  \frac{3}{12} +

Apply the rule on the second fraction. Divide 12 by the denominator and then multiply the resulting quotient to the numerator.

 \frac{1}{4} +  \frac{5}{6} =  \frac{3}{12} +  \frac{10}{12}

Then add. Now, we can add because they're already similar fractions.

Note: We can't add dissimilar fractions, so you need to make those dissimilar fractions similar so that we can add them.

\frac{1}{4} + \frac{5}{6} = \frac{3}{12} + \frac{10}{12} =  \frac{13}{12}

The answer is  \frac{13}{12} .

Mixed Fraction

 1 \frac{1}{12}

Decimal

1.083333333

⇒ Rounded to the thousandths place -- 1.083
⇒ Rounded to the hundredths place -- 1.08
⇒ Rounded to the tenths place -- 1.1
⇒Rounded to the nearest whole number -- 1

Improper Fraction

 \frac{13}{12}

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