A recipe calls for 1/2 cups of sugar. You find that you only have 1/18 cups of sugar left. What fraction of the recipe can you make? Your answer must be a fraction written in simplest terms. If your answer is a whole number, then give your answer as a fraction with 1 in the denominator. Cups of sugar
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Explanation:
Before we can compare these
mixed numbers
we need to change them to
improper fractions
⇒
2
1
2
=
5
2
and
2
1
3
=
7
3
To compare the fractions
5
2
and
7
3
we require them to have a
common denominator
The lowest common denominator of 2 and 3 is 6 so we have to convert them into fractions with a denominator of 6
⇒
5
2
=
5
×
3
2
×
3
=
15
6
and
7
3
=
7
×
2
3
×
2
=
14
6
Now
14
6
<
15
6
thus there is not enough sugar
amount of sugar needed
=
15
6
−
14
6
=
1
6
of a cup
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