Basic Math Decoded
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This example has been taken directly from the solution given by Basic Math Decoded to the formulated problem.
7 8
—— + ——
24 15
The fractions have different denominators. Find the Least Common Denominator (LCD) of the fractions. It is the smallest positive integer that is a multiple of the denominators, and can be calculated as the product of the denominators divided by the Greatest Common Factor.
Greatest Common Factor: 3
Least Common Denominator: (24 × 15) ÷ 3 = 120
Divide the Least Common Denominator by each denominator and multiply the result by the corresponding numerator. Add the results of both multiplications and place the sum over the Least Common Denominator.
5 × 7 + 8 × 8
= —————————————
120
Partial multiplications
7 × 5 = 35
8 × 8 = 64
35 + 64
= ———————
120
Partial sum
35
+ 64
99
99
= ———
120
Simplify the Fraction. Use the number 3 for the simplification.
33
= ——
40
Final answer
33
——
40