6.3E Multiplying and Dividing Fractions and decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

How do you multiply fractions?

Back

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

Front

How do you divide 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 a decimal?

Back

A decimal is a way of representing fractions in a base-10 system, using a decimal point. For example, 0.5 represents 1/2.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share. It is used to add or subtract fractions.

Front

How do you find the least common multiple (LCM)?

Back

To find the least common multiple, list the multiples of each number and find the smallest multiple they have in common.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.

Front

What is the process to solve application-based fraction problems?

Back

1. Read the problem carefully. 2. Identify the fractions involved. 3. Determine whether to multiply or divide. 4. Solve using the appropriate method.