Bridges 5 Unit 2 Review

Front

What is the process to simplify the fraction \( \frac{5}{6} - \frac{1}{3} \)?

Back

To simplify \( \frac{5}{6} - \frac{1}{3} \), first find a common denominator. The common denominator for 6 and 3 is 6. Rewrite \( \frac{1}{3} \) as \( \frac{2}{6} \). Then, subtract: \( \frac{5}{6} - \frac{2}{6} = \frac{3}{6} \). Finally, simplify \( \frac{3}{6} \) to \( \frac{1}{2} \).

Front

What is a common denominator and why is it important in fraction operations?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It is important because it allows fractions to be added or subtracted by ensuring they are expressed in terms of the same base.

Front

How do you convert \( \frac{1}{3} \) to a fraction with a denominator of 6?

Back

To convert \( \frac{1}{3} \) to a fraction with a denominator of 6, multiply both the numerator and the denominator by 2: \( \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \).

Front

What is the simplified form of \( \frac{30}{60} \)?

Back

The simplified form of \( \frac{30}{60} \) is \( \frac{1}{2} \) because both the numerator and denominator can be divided by 30.

Front

Explain the concept of equivalent fractions.

Back

Equivalent fractions are different fractions that represent the same value or proportion. For example, \( \frac{1}{2} \), \( \frac{2}{4} \), and \( \frac{3}{6} \) are all equivalent fractions.

Front

What is the first step in subtracting fractions with different denominators?

Back

The first step in subtracting fractions with different denominators is to find a common denominator.

Front

How can you check if two fractions are equivalent?

Back

To check if two fractions are equivalent, cross-multiply the numerators and denominators. If the products are equal, the fractions are equivalent.

Front

What is the relationship between the numerator and denominator in a fraction?

Back

In a fraction, the numerator represents the number of parts being considered, while the denominator represents the total number of equal parts in a whole.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the result of \( \frac{3}{6} \) when simplified?

Back

The result of \( \frac{3}{6} \) when simplified is \( \frac{1}{2} \).