CHARTS & TABLES Fractions
CHARTS & TABLES Fractions
Fractions (continued)
If the denominators are different and there are only two fractions to add, another
method is to multiply the numerator of each fraction by the denominator of each
fraction, and multiply each of the denominators.Canceling
Finding the like factors in the numerator and the denominator and deleting them to
find the lowest terms. For example:Common denominator The same denominator is in two or more fractions.
Complex fraction The numerator, the denominator, or both contain a fraction. For
example:Denominator The number on the bottom, below the division line.
Dividing fractions
Invert the second fraction, then multiply the fractions (see above for multiplication of
fractions).Dividing Complex Fractions
Conv ert the fractional bar into a division sign.(continues)(^1) –
-^2 =–^1111 ÷ 7 = –×–=—
72 2714
(^7) – ÷27 3 7 –=–×–=—— × (^3) = (^21) —
8 3 8 2 8 × 2 16
a–÷–c=a–×–d=ad—
bdbcbc
(^1) –
-^2
7
(^18) —= (^3) ——× (^63) cancel out each 6 from the numerator and denominator =–so,
48 8 × 68
(^18) —= (^3) –
48 8
-^212 +–=————— ×^3 +^1 ×^4 =6 + 4—— =—^10 =–^5
43 4 × 3 12 12 6
a– + –c= ———ad +bc
bd bd