Fraction Operations

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

What does it mean for a fraction to be in simplest form?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 3/18?

Back

To simplify 3/18, divide both the numerator and denominator by their greatest common divisor, which is 3. This results in 1/6.

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What is the product of 2/3 and 4/5?

Back

The product is (2*4)/(3*5) = 8/15.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, (a/c) + (b/c) = (a+b)/c.

Front

What is the sum of 3/12 and 5/12?

Back

The sum is (3+5)/12 = 8/12, which simplifies to 2/3.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the result of dividing 2/3 by 4/5?

Back

The result is (2/3) * (5/4) = 10/12, which simplifies to 5/6.