Evaluate using order of operations. 9(8 – 11) – 3(-5)
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You are given a fraction in simplest form. The possible denominators are 3, 6, 7, 9
<u>Solution:</u>
Given that, You are given a fraction in simplest form.
The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal.
We have to find which numbers from 1 to 10 could be the denominator
Now, let us check each number by considering the numerator as 1
Then,
⇒ non repeating
⇒ non repeating
⇒ repeating
⇒ non repeating
⇒ non repeating
⇒ repeating
⇒ repeating
⇒ non repeating
⇒ repeating
⇒ non repeating
If we want to test with any other numerator. Suppose 5, then numerator is 5 x 1, which means 5 divided by denominator equals with 5 x 1 divided by denominator. So its again product of the numerator we want and above values, then, non repeating stays non repeating and repeating stays repeating.
Hence, the possible denominators are 3, 6, 7, 9
Let's start out by tripling the original recipe to see how much butter Angie needs.
So we need
cups of butter, but Angie only has 
. Let's subtract what Angie has from the total to see how much more she needs.
we will need the least common denominator for both fractions
So Angie need
cups more of butter for the recipe.
So we need
we will need the least common denominator for both fractions
So Angie need