Operations and Algebraic Thinking

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MAP 5th Grade Math › Operations and Algebraic Thinking

Questions 1 - 3

David ate $\frac{3}{12}$ of the pizza and Alison ate $\frac{1}{3}$ of the pizza. How much of the pizza did they eat?

$\frac{7}{12}$

$\frac{1}{2}$

$\frac{6}{12}$

$\frac{4}{15}$

Explanation

$\frac{3}{12}+\frac{1}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{3}{12}+\frac{4}{12}=\frac{7}{12}$

Complete the table below using the equation

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Explanation

We need to use both the equation and the table to answer this question. We are looking for the corresponding value for . We can plug into the in our equation to solve for .

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . What fraction of the milk did they drink?

$\frac{3}{4}$

$\frac{5}{7}$

$\frac{1}{2}$

$\frac{3}{15}$

Explanation

$\frac{1}{12}+\frac{2}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{12}+\frac{8}{12}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced by dividing by both sides.

$\frac{9}{12}\div \frac{3}{3}=\frac{3}{4}$

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