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Friday, November 9, 2012

Simplifying Complex Fraction

Category: Arithmetic

"Published in Newark, California, USA"

Simplify:



Solution:

A complex fraction is a fraction which contains fractions at the numerator and denominator. There's a rule in Mathematics that fractions must be simplified always. A complex fraction must be simplified into a simple fraction. Also, it must be simplified into lowest term. If there are whole numbers and mixed fractions, they must be expressed into improper fractions. For instance, 1 and 2 must be written as


Let's consider the numerator. Their Least Common Denominator (LCD) is 12. The above fraction can be written as


Let's consider the denominator. Their Least Common Denominator (LCD) is 6. The above fraction can be written as




If you divide a fraction with another fraction, the divisor must be written in reciprocal form and perform the multiplication as follows


You noticed that you can cancel 13 and 12 is divisible by 6, the above fraction can be written as



Therefore, the answer is ½