How to multiply fractions - SSAT Middle Level Math

Card 0 of 20

Question

Evaluate:

Answer

By order of operations, perform the rightmost addition (the one within the parentheses) first, the multiplication second. and the leftmost addition last.

$1.2 + 0.6 (0.5 + 2.3) = 1.2 + 0.6 \cdot 2.8 = 1.2 + 1.68 = 2.88$

Compare your answer with the correct one above

Question

Express the product in simplest form:

$\frac{5}{7} \cdot 1 \frac{1}{7} \cdot 2 \frac{4}{5}$

Answer

Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:

$\frac{5}{7} \cdot 1 \frac{1}{7} \cdot 2 \frac{4}{5} = \frac{5}{7} \cdot \frac{8}{7} \cdot \frac{14}{5}= \frac{1}{1} \cdot \frac{8}{7} \cdot \frac{2}{1}= \frac{16}{7}= 2\frac{2}{7}$

Compare your answer with the correct one above

Question

Evaluate:

$6.5 + 1.4 \times 1.6$

Answer

By order of operations, multiply first:

$1.4 \times 1.6$

Multiply 14 by 16, and position the decimal point so that two digits are right of it:

$14 \times 16 = 224$

$1.4 \times 1.6 = 2.24$

Now add this product to 6.5:

$6.5 + 1.4 \times 1.6 = 6.5 + 2.24$

Append a zero to the 6.5, and align the decimal points:

$\underline{2.24}$

Compare your answer with the correct one above

Question

Evaluate:

$5.96 + 3.2 \times 1.5$

Answer

By order of operations, multiply first:

$3.2 \times 1.5$

Multiply 32 by 15, and position the decimal point so that two digits are right of it:

$32 \times 15 = 480$

$3.2 \times 1.5 = 4.80 = 4.8$

Now add this product to 5.96:

$5.96 + 3.2 \times 1.5 = 5.96 + 4.8$

Append a zero to the 4.8, and align the decimal points:

$\underline{4.80}$

Compare your answer with the correct one above

Question

Evaluate:

$20.1 \cdot (-20.3)$

Answer

The product of two numbers of unlike sign is the (negative) opposite of the product of their absolute values.

$20.1 \cdot (-20.3) = - \left (20.1 \cdot 20.3 \right )$

There are a total of two digits to the right of the two decimal points. Therefore, the product can be calculated by multiplying 201 by 203, then placing the decimal point so that there are three digits at right.

$201 \cdot 203 = 40,803 \Rightarrow 20.1 \cdot 20.3 = 408.03$

Since we need to affix a negative symbol in front, the answer is

Compare your answer with the correct one above

Question

$\frac{3}{5} \times \frac{1}{6} =$

Answer

When multiplying a fraction, simply multiply straight across - numerator times numerator, denominator times denominator. When you do that, you should get this answer:

$\tfrac{3}{5} \times \tfrac{1}{6} = \tfrac{3}{30}$

Do not forget to reduce. 3 and 30 can both be evenly divided by 3, which would give you $\tfrac{1}{10}$ as your answer.

Compare your answer with the correct one above

Question

Multiply:

$0.58 \times 8.3$

Answer

First, multiply the numbers, ignoring the decimal points:

$58 \times 83 = 4814$

Since the two factors in the original product have three digits to the right of the decimal points between them, position the decimal point in the product such that three digits are at its right. The result, therefore, is

Compare your answer with the correct one above

Question

Multiply: $6.73 \times 0.006$

Answer

First, remove the decimal points, multiplying as follows:

$673 \times 6 = 4 038$

Between them, the two factors have five digits to the right of their decimal points, so position the decimal point in the product so that there are five digits to the right. This will require placing a zero in front as a placeholder, so the final result is

$6.73 \times 0.006 = 0.04038$

Compare your answer with the correct one above

Question

$\frac{1}{3} \times \frac{4}{5}=?$

Answer

Multiply the numerators together, and then multiply the denominators together:

$\frac{1}{3} \times \frac{4}{5}=\frac{1\times 4}{3\times 5}=\frac{4}{15}$

Compare your answer with the correct one above

Question

Find $\frac{3}{5}\cdot \frac{7}{9}$ .

Answer

To find the product of two fractions, multiply the numerators together and then multiply the denominators together.

$\frac{3}{5}\cdot \frac{7}{9}=\frac{21}{45}$ , which can be reduced to $\frac{7}{15}$ .

Compare your answer with the correct one above

Question

Find $\frac{5}{7}\cdot \frac{3}{4}=$ .

Answer

To find the product of two fractions, multiply the numerators together and then multiply the denominators together.

$\frac{5}{7}\cdot \frac{3}{4}=\frac{15}{28}$

Compare your answer with the correct one above

Question

What is the product of the two fractions below?

$\frac{4}{5}\cdot\frac{7}{8}$

Answer

To solve for this expression, first multiple the numerators, and then multiply the demonators.

$\frac{4}{5}\cdot\frac{7}{8}$

$\frac{4\times7}{5\times8}$

$\frac{28}{40}$

Simplify the fraction by removing a common factor.

$\frac{28\div4}{40\div4}=\frac{7}{10}$

Compare your answer with the correct one above

Question

Which of the following statements demonstrates the identity property of multiplication?

Answer

The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements,

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

demonstrates this property.

Compare your answer with the correct one above

Question

Evaluate:

$15 - \left ( \frac{2}{3} \times 3 - \frac{4}{3}\right )$

Answer

By the order of operations, carry out the operations in parentheses first; since there is a multiplication and a subtraction present, carry them out in that order. Finally, carry out the remaining subtraction:

$15 - \left ( \frac{2}{3} \times 3 - \frac{4}{3}\right )$

$= 15 - \left ( 2- \frac{4}{3}\right )$

$= 15 - \frac{2}{3}$

$= 14 \frac{1}{3}$

Compare your answer with the correct one above

Question

Raise to the fourth power.

Answer

To raise a negative number to an even-numbered power, raise its absolute value to that power:

$(-8)^{4}= 8^{4} = 8 \times 8 \times 8 \times 8 = 4,096$

Compare your answer with the correct one above

Question

Evaluate:

$20 - 7.5 \times\left ( 3 - 1.2 \right )$

Answer

By the order of operations, carry out the operation in parentheses, which is the rightmost subtraction, then the multiplication, then the leftmost subtraction:

$20 - 7.5 \times\left ( 3 - 1.2 \right )$

$= 20 - 7.5 \times 1.8$

Compare your answer with the correct one above

Question

Which of the following statements demonstrates the inverse property of multiplication?

Answer

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Compare your answer with the correct one above

Question

Raise $- \frac{3}{2}$ to the fourth power.

Answer

To raise a negative number to an even-numbered power, raise its absolute value to that power. Also, to raise a fraction to a power, raise its numerator and its denominator to that power. Combine these ideas as follows:

$\left (- \frac{3}{2} \right )^{4} = \left( \frac{3}{2}\right )^{4} = \frac{3^{4} }{2^{4} } = \frac{ 3 \times 3\times 3 \times 3 }{ 2 \times 2 \times 2 \times 2 } \right ) = \frac{81}{16}$

Compare your answer with the correct one above

Question

Raise $- \frac{2}{3}$ to the fifth power.

Answer

To raise a negative number to an odd-numbered power, raise its absolute value to that power, then make the sign negative. Also, to raise a fraction to a power, raise its numerator and its denominator to that power. Combine these ideas as follows:

$\left (- \frac{2}{3} \right )^{5} = - \left ( \frac{2}{3} \right )^{5} = - \left ( \frac{2^{5} }{3^{5} } \right ) = - \left ( \frac{2\times 2 \times 2 \times 2 \times 2 }{3 \times 3 \times 3\times 3 \times 3 } \right ) = -\frac{32}{243}$

Compare your answer with the correct one above

Question

One euro is worth approximately $1.27. For how much American money can a French tourist expect to exchange 800 euros?

Answer

One Euro is equivalent to $1.27, so multiply the number of euros - 800 - by this conversion factor.

$$1.27 \times 800 = $ 1,016$

Compare your answer with the correct one above

Tap the card to reveal the answer