Comparing 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 (part) and 'b' is the denominator (whole).

Front

How do you compare fractions with different denominators?

Back

To compare fractions with different denominators, convert them to have a common denominator, then compare the numerators.

Front

What is a decimal?

Back

A decimal is a way of expressing fractions in a base-10 system, using a decimal point to separate the whole number from the fractional part.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the sum of 1/3 and 1/4?

Back

1/3 + 1/4 = 1/6 (common denominator is 12, so 4/12 + 3/12 = 7/12).

Front

Which fraction is closest to 1: 6/8, 3/16, 2/4, or 12/2?

Back

6/8 is closest to 1 (0.75), while 2/4 equals 1 (0.5), and 12/2 is greater than 1.

Front

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

Back

3/4 * 2/3 = 6/12 = 1/2.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

The least common denominator is the smallest multiple that both denominators share.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).

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.