How to find the lowest / least common denominator - SAT Math

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Question

3/5 + 4/7 – 1/3 =

Answer

We need to find a common denominator to add and subtract these fractions. Let's do the addition first. The lowest common denominator of 5 and 7 is 5 * 7 = 35, so 3/5 + 4/7 = 21/35 + 20/35 = 41/35.

Now to the subtraction. The lowest common denominator of 35 and 3 is 35 * 3 = 105, so altogether, 3/5 + 4/7 – 1/3 = 41/35 – 1/3 = 123/105 – 35/105 = 88/105. This does not simplify and is therefore the correct answer.

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Question

What is the lowest common denominator of the fractions below?

Answer

In order to find the lowest common denominator, you must first list the multiples of each of the denominators of the three fractions:

The lowest common denominator between these three sets of multiples is .

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Question

What is the Lowest Common Denominator of ,and ?

Answer

The smallest number they all have in common in .

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