Pretest for Math GED Equivalent

Front

What is the result of multiplying a fraction by a fraction?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \( \frac{1}{2} \times \frac{1}{8} = \frac{1 \times 1}{2 \times 8} = \frac{1}{16} \).

Front

What is the unit rate and how is it calculated?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is calculated by dividing the first quantity by the second. For example, if you earn $5 for every hour worked, the unit rate is $5/hour.

Front

What is a mixed fraction?

Back

A mixed fraction is a number that consists of a whole number and a proper fraction combined. For example, \( 1 \frac{1}{2} \) is a mixed fraction.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point. For example, 0.5 can be written as \( \frac{5}{10} \) which simplifies to \( \frac{1}{2} \).

Front

What does the decimal 0.6 represent in fraction form?

Back

The decimal 0.6 can be expressed as \( \frac{6}{10} \), which simplifies to \( \frac{3}{5} \).

Front

What is the process of simplifying a fraction?

Back

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

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator that is less than its denominator (e.g., \( \frac{3}{4} \)), while an improper fraction has a numerator that is greater than or equal to its denominator (e.g., \( \frac{5}{4} \)).

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators. For example, to add \( \frac{1}{4} + \frac{1}{2} \), convert \( \frac{1}{2} \) to \( \frac{2}{4} \) and then add: \( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \).

Front

What is the relationship between fractions and decimals?

Back

Fractions and decimals are two ways of representing the same concept of a part of a whole. For example, \( \frac{1}{2} \) is equivalent to 0.5.

Front

What is a percentage and how is it calculated?

Back

A percentage is a fraction expressed as a part of 100. To calculate a percentage, divide the part by the whole and multiply by 100. For example, if you scored 45 out of 60, the percentage is \( \frac{45}{60} \times 100 = 75\% \).