Fractions Basics
Operations with Fractions
Comparing and Simplifying
Multiplication and Division
Advanced Concepts
100

What is a fraction?

A fraction represents a part of a whole or a division of quantities.

100

What is the first step in adding fractions with different denominators?

Find a common denominator.

100

What does it mean to simplify a fraction?

To reduce it to its lowest terms by cancelling common factors.

100

How do you multiply a fraction by a whole number?

Multiply the numerator by the whole number and keep the same denominator.

100

How do you divide fractions?

Multiply by the reciprocal of the divisor.

200

How do you express a fraction as a division?

A fraction like 3/4 can be expressed as 3 divided by 4.

200

How do you subtract 5/8 from 3/4?

Convert to a common denominator and subtract: 3/4 = 6/8, so 6/8 - 5/8 = 1/8.

200

Which is greater: 2/3 or 3/5?

2/3 is greater than 3/5.

200

What is the reciprocal of 3/4?

The reciprocal is 4/3.

200

What is the result of multiplying 2/3 by 3/5?

2/3 x 3/5 = 6/15 = 2/5.

300

What is the numerator in the fraction 5/8?

The numerator is 5.

300

What is 1/2 + 1/3?

1/2 + 1/3 = 3/6 + 2/6 = 5/6.

300

Simplify 8/12.

8/12 = 2/3 in lowest terms.

300

Multiply 2/3 by 4.

2/3 x 4 = 8/3.

300

What is the reciprocal of 5/8?

The reciprocal is 8/5.

400

What is the denominator in the fraction 7/9?

The denominator is 9.

400

How do you add 2/5 and 3/10?

Convert to a common denominator: 2/5 = 4/10, so 4/10 + 3/10 = 7/10.

400

Which is smaller: 5/6 or 4/5?

4/5 is smaller than 5/6.

400

What is 3/5 x 2/7?

3/5 x 2/7 = 6/35.

400

Divide 7/9 by 2.

7/9 divided by 2 = 7/18.

500

How do you write one whole as a fraction?

One whole can be written as n/n, where n is any non-zero number.

500

What is the result of 7/8 - 1/4?

Convert to a common denominator: 1/4 = 2/8, so 7/8 - 2/8 = 5/8.

500

Simplify 18/24.

18/24 = 3/4.

500

Divide 5/6 by 2/3.

Multiply by the reciprocal: 5/6 x 3/2 = 15/12 = 5/4.

500

What is 4/7 divided by 2/5?

Multiply by the reciprocal: 4/7 x 5/2 = 20/14 = 10/7.