Operations

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5th Grade Math › Operations

Questions 1 - 4

Solve:

$\frac{5}{9}\times \frac{6}{13}$

$\frac{10}{39}$

$\frac{45}{123}$

$\frac{9}{11}$

$\frac{8}{7}$

Explanation

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{5}{9}\times \frac{6}{13}=\frac{30}{117}$

$\frac{30}{117}$ can be reduced to $\frac{10}{39}$ by dividing both sides by .

$\frac{30}{117}\frac{\div}{\div}\frac{3}{3}=\frac{10}{39}$

Heather collected $\small \frac{1}{2}$ of a bag of leaves. Matt collected times as many bags as Heather. How many bags did Matt collect?

$\small 1\frac{1}{2}$

$\small \frac{1}{6}$

$\small 1\frac{1}{3}$

$\small 1$

Explanation

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{3}{1}\times\frac{1}{2}=\frac{3}{2}$

$\small \frac{3}{2}=1\frac{1}{2}$ Because can go into $\small 3$ only $\small 1$ time and $\small \frac{1}2{}$ is left over.

Matt collected $\small 1\frac{1}2{}$ bags of leaves.

Solve:

$3\times2+(10-8)$

Explanation

$3\times2+(10-8)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication, and then the addition.

$3\times2=6$

Solve:

$2\times (50-25)\div5$

Explanation

$2\times (50-25)\div5$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.

$25\times2=50$

$50\div5=10$

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