Question

One cake recipe calls for 2/3 cup of sugar. Another recipe calls for 1/4 cups of sugar. How many cups of sugar are needed to make both cakes?

Fractions
ANSWERED
asked 2021-02-14
One cake recipe calls for \(\displaystyle\frac{{2}}{{3}}\) cup of sugar. Another recipe calls for \(\displaystyle\frac{{1}}{{4}}\) cups of sugar. How many cups of sugar are needed to make both cakes?

Answers (1)

2021-02-15

We add the two amounts of sugar: \(\displaystyle\frac{{2}}{{3}}+{1}{\left(\frac{{1}}{{4}}\right)}\)
Write the mixed fraction as an improper fraction: \(=\frac{2}{3}+\frac{5}{4}\)
Rewrite each fraction using the LCD which is 12:
\(=(\frac{2}{3})(\frac{4}{4})+(\frac{5}{4})(\frac{3}{3}) =(\frac{8}{12})+(\frac{15}{12})\)
Combine the numerators: \(=\frac{8+15}{12} =\frac{23}{12}\)
Write as a moxed fraction:
\(\displaystyle={1}{\left(\frac{{11}}{{12}}\right)}\) cups of sugar are needed.

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