A baker uses 1 4 cup of sugar for a small cake. If he wants to make a larger cake that requires an amount of sugar equivalent to 3 12 cup, how many times larger is the amount of sugar for the larger cake compared to the small cake?

Hi

A baker uses $\frac{1}{4}$ cup of sugar for a small cake. If he wants to make a larger cake that requires an amount of sugar equivalent to $\frac{3}{12}$ cup, how many times larger is the amount of sugar for the larger cake compared to the small cake?

Solution:

Amount of sugar for small cake = $\frac{1}{4}$ cup.

Amount of sugar for larger cake = $\frac{3}{12}$ cup.

First, let's simplify the fraction for the larger cake:

\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}

This means the amount of sugar for the larger cake is $\frac{1}{4}$ cup.

Comparing this to the small cake, which also uses $\frac{1}{4}$ cup, the amount of sugar is the same.

Therefore, the larger cake requires 1 time the amount of sugar of the small cake, meaning it's not actually larger in terms of sugar amount, but rather the same amount.

Fractions

Solution: