Fractions as Tenths and Hundredths

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction \(\frac{1}{2}\), 1 is the part and 2 is the whole.

Front

What does the denominator in a fraction represent?

Back

The denominator indicates how many equal parts the whole is divided into. For example, in \(\frac{3}{4}\), the denominator 4 means the whole is divided into 4 equal parts.

Front

What does the numerator in a fraction represent?

Back

The numerator indicates how many parts are being considered. For example, in \(\frac{3}{4}\), the numerator 3 means we are considering 3 out of the 4 equal parts.

Front

What is a tenth in terms of fractions?

Back

A tenth is a fraction where the denominator is 10. For example, \(\frac{1}{10}\) represents one part out of ten equal parts.

Front

What is a hundredth in terms of fractions?

Back

A hundredth is a fraction where the denominator is 100. For example, \(\frac{1}{100}\) represents one part out of one hundred equal parts.

Front

How do you convert a fraction with a denominator of 10 to a fraction with a denominator of 100?

Back

To convert a fraction with a denominator of 10 to a denominator of 100, multiply the numerator by 10. For example, \(\frac{3}{10} = \frac{30}{100}\).

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add \(\frac{1}{10} + \frac{1}{100}\), convert \(\frac{1}{10}\) to \(\frac{10}{100}\) and then add: \(\frac{10}{100} + \frac{1}{100} = \frac{11}{100}\).

Front

What is the sum of \(\frac{3}{100}\) and \(\frac{8}{10}\)?

Back

To add \(\frac{3}{100}\) and \(\frac{8}{10}\), convert \(\frac{8}{10}\) to \(\frac{80}{100}\). Then, \(\frac{3}{100} + \frac{80}{100} = \frac{83}{100}\).

Front

What is the equivalent fraction of \(\frac{8}{10}\) with a denominator of 100?

Back

The equivalent fraction of \(\frac{8}{10}\) with a denominator of 100 is \(\frac{80}{100}\).

Front

What is the process to simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify \(\frac{8}{12}\), divide both by 4 to get \(\frac{2}{3}\).