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Let's try to find the least common denominator between 5 and 15 and 3
To find the least common denominator, we need to find a number that is divisible by 5, 15, and 3
In this case, the common denominator is 15
Now we'll multiply each fraction by the appropriate number to reach the denominator 15
We'll multiply the first fraction by 3
We'll multiply the second fraction by 1
We'll multiply the third fraction by 5
Now let's subtract:
We'll divide both the numerator and denominator by 3 and get:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List multiples of the largest denominator (15): 15, 30, 45... Check if smaller denominators divide evenly: 15 ÷ 5 = 3 ✓, 15 ÷ 3 = 5 ✓. So LCD = 15!
You must multiply both numerator and denominator by the same number to keep the fraction's value unchanged.
Always simplify! becomes by dividing both parts by their GCD (3). Simplified fractions are the expected final answer.
Be careful with order! means subtract the second fraction, then subtract the third. Work left to right:
Your LCD should be divisible by every original denominator. Test: 15 ÷ 5 = 3, 15 ÷ 15 = 1, 15 ÷ 3 = 5. All whole numbers means 15 works!
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