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55. To reduce fractions having different denominators to equivalent fractions having a common denominator.
Multiply each numerator into all the denominators except its own, for the new numerators, and all the denominators together for a common denominator.
EXAMPLES. 1. Reduce , 3, and #, to a common denominator.
NotE.-It is plain that this reduction does not alter the values of the several fractions, since the numerator and denominator of each are multiplied by the same number.
b 2. Reduce + and + to equivalent fractions having
a common denominator.
a × 0–6, $ × b=&”
and bx e-be, the common denominator.
; the new numerators.
QUEst.—55. How do you reduce fractions to a common denominator?
CASE W.56. To add fractional quantities together.
Reduce the fractions, if necessary, to a common denominator; then add the numerators together, and place their sum over the common denominator.
35+30+30+ 30 which, by reducing to the lowest term me 4}}.
- 0. c e 2. Find the sum of T. d’ and 7.
- - 5a-2 7. It is required to add 4a, ; , and together.
10. It is required to add 3.4% and s—o together.
23 Ans. 3.4 .
- 6b c 11. Required the sum of ac-5, and 1–7.