*This Math quiz is called 'Fractions 8' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is an enjoyable way to learn if you are in the 3rd, 4th or 5th grade - aged 8 to 11.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

By the time you come to play this quiz, you should have a good grasp of fractions. Remember the best way to learn any new subject is to keep practicing every day until you are confident you know what you are doing.

As always, take your time in this quiz. Read the questions carefully and look at all four answers before choosing. Make sure you read the comment that pops up after the question has been answered. These comments will help you understand how the calculation is worked out.

1.

What is ^{4}⁄_{6} + ^{8}⁄_{3} + ^{5}⁄_{15} expressed as a mixed fraction?

3^{3}⁄_{2}

2^{2}⁄_{3}

3^{4}⁄_{6}

3^{2}⁄_{3}

2.

An eighth of an eighth is the same as what fraction of a fourth?

The word OF means multiply: ^{1}⁄_{8} × ^{1}⁄_{8} = ^{1}⁄_{64}. You now have to find a fraction which multiplied with ^{1}⁄_{4} gives ^{1}⁄_{64}. Well, 4 × 16 = 64, so the fraction (in its simplest form) must be ^{1}⁄_{16}

3.

What is ^{24}⁄_{7} as a mixed fraction in its simplest form?

2^{10}⁄_{7}

3^{7}⁄_{24}

3^{3}⁄_{7}

7^{3}⁄_{7}

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 24 ÷ 7 = 3. STEP 2: Remainder 3. STEP 3: 3^{3}⁄_{7}

4.

There are 360° in a circle. If you walk round ^{5}⁄_{8} of the circumference of a circle, how many degrees will you have walked around?

225°

576°

125°

252°

All you have to do is find ^{5}⁄_{8} of 360°: ^{5}⁄_{8} × 360° = (5 × 360°) ÷ 8 = 1,800° ÷ 8 = 225°. Do the brackets first

5.

What is 5^{4}⁄_{8} as an improper fraction in its simplest form?

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 5 × 8 = 40. STEP 2: 40 + 4 = 44. STEP 3: ^{44}⁄_{8}. Divide the numerator and denominator by 4 to reduce the fraction to its simplest form: ^{11}⁄_{2}

6.

If ^{17}⁄_{30} of the class voted against extra homework, how many pupils in the class voted in favor of extra homework?

17 pupils

13 pupils

7.

What is 9^{6}⁄_{8} as an improper fraction in its simplest form?

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 9 × 8 = 72. STEP 2: 72 + 6 = 78. STEP 3: ^{78}⁄_{8}. Divide the numerator and denominator by 2 to reduce the fraction to its simplest form: ^{39}⁄_{4}

8.

What is four-fifths of five-sixteenths in its simplest form?

The word OF means multiply: ^{4}⁄_{5} × ^{5}⁄_{16} = ^{1}⁄_{4}. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction. This fraction can then be reduced to its simplest form: sometimes you can reduce the fractions before you multiply them together

9.

How many ^{6}⁄_{15} are there in ^{4}⁄_{5}?

4

24

2

3

10.

What is ^{18}⁄_{4} as a mixed fraction in its simplest form?

4^{1}⁄_{2}

3^{2}⁄_{6}

4^{1}⁄_{3}

4^{2}⁄_{4}

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 18 ÷ 4 = 4. STEP 2: Remainder 2. STEP 3: 4^{2}⁄_{4}. Divide the numerator and denominator by 2 to reduce the fraction to its simplest form: 4^{1}⁄_{2}

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions.

Ready for more?

Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's

not all...

not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other

quizzers. Try to win a coveted spot on our Hall of Fame Page.

quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions. Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

^{4}⁄_{6}+^{8}⁄_{3}+^{5}⁄_{15}=^{2}⁄_{3}+^{8}⁄_{3}+^{1}⁄_{3}=^{11}⁄_{3}= 3^{2}⁄_{3}. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators - it really is as easy as that! Finally, write the improper fraction as a mixed fraction