Testinar Grade 3 math

Generating Simple Equivalent Fractions

Students will generate simple equivalent fractions using models, number lines, and multiplication patterns.

CH04-03 Fractions

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

Which fraction is equivalent to \(\frac{3}{4}\)?
1. \(\frac{3}{8}\)
2. \(\frac{4}{3}\)
3. \(\frac{6}{8}\)
4. \(\frac{1}{2}\)
Look at the fraction bars below. Which fractions are equivalent?
1. \(\frac{1}{2}\) and \(\frac{1}{8}\)
2. \(\frac{1}{4}\) and \(\frac{1}{8}\)
3. \(\frac{1}{2}\) and \(\frac{2}{4}\)
4. \(\frac{1}{4}\) and \(\frac{2}{4}\)
Which fraction is equivalent to \(\frac{1}{3}\)?
1. \(\frac{2}{3}\)
2. \(\frac{2}{6}\)
3. \(\frac{3}{3}\)
4. \(\frac{1}{6}\)
Which fraction equals \(\frac{1}{2}\)?
1. \(\frac{2}{3}\)
2. \(\frac{3}{4}\)
3. \(\frac{4}{8}\)
4. \(\frac{3}{8}\)
Which fraction is NOT equivalent to \(\frac{2}{4}\)?
1. \(\frac{1}{2}\)
2. \(\frac{3}{6}\)
3. \(\frac{4}{8}\)
4. \(\frac{2}{3}\)
Which fraction is equivalent to \(\frac{1}{2}\) by multiplying numerator and denominator by 3?
1. \(\frac{2}{6}\)
2. \(\frac{3}{6}\)
3. \(\frac{2}{5}\)
4. \(\frac{4}{6}\)
Which two circles show equivalent fractions?
1. Circles 1 and 2
2. Circles 2 and 3
3. Circles 1 and 3
4. All three circles
\(\frac{1}{4}=\frac{2}{?}\). What number goes in the box?
1. 4
2. 6
3. 8
4. 10

Teacher and parent reference

Answer key and explanations

C. \(\frac{6}{8}\)
If you divide a figure into 4 parts and shade 3, then divide each part in half, you get 8 parts with 6 shaded. So \(\frac{3}{4}=\frac{6}{8}\) because \(\frac{3\times2}{4\times2}=\frac{6}{8}\).
C. \(\frac{1}{2}\) and \(\frac{2}{4}\)
Both bars show the same shaded length. When you split each half into 2 equal parts, 1 half becomes 2 fourths. So \(\frac{1}{2}=\frac{2}{4}\).
B. \(\frac{2}{6}\)
Multiply numerator and denominator by 2: \(\frac{1\times2}{3\times2}=\frac{2}{6}\).
C. \(\frac{4}{8}\)
Multiply numerator and denominator by 4: \(\frac{1\times4}{2\times4}=\frac{4}{8}\).
D. \(\frac{2}{3}\)
\(\frac{2}{4}\) equals \(\frac{1}{2}\) (divide by 2). Choices A, B, and C are all equivalent to \(\frac{1}{2}\). Only \(\frac{2}{3}\) is different.
B. \(\frac{3}{6}\)
Multiply numerator and denominator by 3: \(\frac{1\times3}{2\times3}=\frac{3}{6}\).
C. Circles 1 and 3
Circle 1 shows \(\frac{1}{2}\) (half shaded) and Circle 3 shows \(\frac{2}{4}\) (half shaded). These are equivalent because \(\frac{1\times2}{2\times2}=\frac{2}{4}\).
C. 8
The numerator was multiplied by 2 (from 1 to 2). Multiply the denominator by 2: \(4\times2=8\). So \(\frac{1}{4}=\frac{2}{8}\).