What is the sum of [tex] \frac{1}{4} [/tex] and [tex] \frac{5}{6}?[/tex]
[tex] \frac{1}{4} + \frac{5}{6} [/tex]
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.
[tex] \frac{1}{4} + \frac{5}{6} = \frac{}{12} [/tex]
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.
[tex] \frac{1}{4} + \frac{5}{6} = \frac{3}{12} [/tex]
Copy the sign.
[tex] \frac{1}{4} + \frac{5}{6} = \frac{3}{12} +[/tex]
Apply the rule on the second fraction. Divide 12 by the denominator and then multiply the resulting quotient to the numerator.
[tex] \frac{1}{4} + \frac{5}{6} = \frac{3}{12} + \frac{10}{12} [/tex]
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.
[tex]\frac{1}{4} + \frac{5}{6} = \frac{3}{12} + \frac{10}{12} = \frac{13}{12} [/tex]
The answer is [tex] \frac{13}{12} [/tex].
Mixed Fraction
[tex]1 \frac{1}{12} [/tex]
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
[tex] \frac{13}{12} [/tex]
