Integers and Fractions Practice Quiz

-3 - 4

• 7

• -7

• 1

• -1

Answer explanation

-3 - 4

Change - to + and make second integer the oppostie (-4 insted of 4)

-3 + (-4)

= - 7

Tags

CCSS.7.NS.A.1C

-4+7

• 10

• -10

• 3

• -3

Answer explanation

-4 + 7 means it moves 7 along a number line, so it moves 4 to get to 0 then 3 because 4 + 3 = 7 and it must move 7 in total. Once it moves through, it is now at 3 meaning the answer is 3.

Tags

CCSS.7.NS.A.1C

4 x -7

(a)  

Answer explanation

4 x 7 is 28 but since a

negative x positive = negative. So, it is -28 as it was 4 x -7.

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

-6 / -3

(a)  

Answer explanation

6 / 3 = 2 and since

negative / negative = positive, the answer is still 2.

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

• 4/8

• 14/15

• 4/3

• 4/5

Answer explanation

3, 6, 9, 12, 15

5. 5, 10, 15

7. So, lowest common denominator is 15.

To make 1/3 have a denominator of 15, you mutliply 3 by 5 then because of this, multiply 1 by 3:

1 x 5/3 x 5 = 5/15

Then you must make the denominator 15 so you multiply 5 x 3 and 3x3, giving you 9/15.

Now that you have both equivalent fractions which are 3/15 and 9/15 you add them:

5/15 + 9/15 = 14/15

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Answer explanation

The Lowest Common Denominator is 4 so to make 1/2 have a denominator it is 2/4 as this is equivalent. Now, you subtract 2/4 from 3/4, which is 1/4.

Tags

CCSS.7.NS.A.1C

• 6/5

• 8/15

• 36/30

• 24/45

Answer explanation

To multiply fractions, you multiply the numerator by the 2nd fraction's numerator and the denominator by the 2nd fraction's denominator.

We will multiply numerators first:

4 x 6 = 24

Then denominators:

5 x 9 = 45

So that equals 24/45 which can be simplified to 8/15 when divided by 3.

Tags

CCSS.5.NF.B.6

Answer explanation

Firstly, you flip the second fraction to its reciprocal then multiply the fractions instead of division:

So it turns from 4/3 divided by 2/4 to 4/3 x 4/2

This equals 16/6 as you multiply the numeratoirs by each other then the denominators. This can be simplified to 8/3.

Tags

CCSS.7.NS.A.2B