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.
35 24
—— - ——
6 9
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: (6 × 9) ÷ 3 = 18
Divide the Least Common Denominator by each denominator and multiply the result by the corresponding numerator. Subtract the results of both multiplications and place the answer over the Least Common Denominator.
3 × 35 - 2 × 24
= ———————————————
18
Partial multiplications
35
× 3
105
24
× 2
48
105 - 48
= ————————
18
Partial subtraction
105
- 48
57
57
= ——
18
Simplify the Fraction. Use the number 3 for the simplification.
19
= ——
6
Final answer
19
——
6