Equivalent Fractions, Finding Equal Parts
Use equal parts to name fractions with the same value
Equivalent Fractions, Finding Equal Parts
Use equal parts to name fractions with the same value
Math - Grade 4-5
- 1
A rectangle is divided into 2 equal parts, and 1 part is shaded. If each part is split into 2 equal smaller parts, what fraction of the rectangle is shaded now?
Think of cutting each half into 2 equal pieces.
The shaded fraction is 2/4. One half is equivalent to two fourths because the same shaded area is split into smaller equal parts. - 2
Fill in the blank to make the fractions equivalent: 1/3 = ___/6.
The missing numerator is 2, so 1/3 = 2/6. The denominator 3 was multiplied by 2, so the numerator 1 must also be multiplied by 2. - 3
Fill in the blank to make the fractions equivalent: 2/5 = ___/10.
Ask what number changes 5 into 10.
The missing numerator is 4, so 2/5 = 4/10. Both the numerator and denominator are multiplied by 2. - 4
A fraction strip shows 3/4 shaded. If each fourth is split into 2 equal parts, what equivalent fraction has a denominator of 8?
The equivalent fraction is 6/8. Each of the 3 shaded fourths becomes 2 shaded eighths, giving 6 shaded parts out of 8 total parts. - 5
Are 2/3 and 4/6 equivalent fractions? Explain your answer.
Compare what happens if each third is cut into 2 equal pieces.
Yes, 2/3 and 4/6 are equivalent. If the numerator and denominator of 2/3 are both multiplied by 2, the result is 4/6. - 6
Write an equivalent fraction for 3/5 with a denominator of 15.
An equivalent fraction is 9/15. The denominator 5 is multiplied by 3 to get 15, so the numerator 3 is also multiplied by 3 to get 9. - 7
A circle is divided into 6 equal slices, and 2 slices are shaded. What simpler fraction names the same shaded part?
Group the 6 slices into 3 equal groups.
The simpler fraction is 1/3. The fraction 2/6 can be divided by 2 in both the numerator and denominator to make 1/3. - 8
Fill in the blank to make the fractions equivalent: 4/8 = ___/2.
The missing numerator is 1, so 4/8 = 1/2. Dividing both 4 and 8 by 4 gives 1/2. - 9
Mia shaded 5 out of 10 equal squares in a grid. Leo shaded 1 out of 2 equal parts in a matching rectangle. Did they shade the same amount? Explain.
Think about whether 5 is half of 10.
Yes, they shaded the same amount. The fraction 5/10 is equivalent to 1/2 because 5 out of 10 equal parts is half of the whole. - 10
Find the missing denominator: 3/4 = 9/___ .
The missing denominator is 12, so 3/4 = 9/12. The numerator 3 is multiplied by 3 to get 9, so the denominator 4 is also multiplied by 3. - 11
Which fraction is equivalent to 2/4: 1/4, 1/2, or 3/4? Explain how you know.
Imagine shading 2 parts out of 4 equal parts.
The equivalent fraction is 1/2. The fraction 2/4 means 2 of 4 equal parts, which is half of the whole. - 12
A number line from 0 to 1 is divided into 3 equal parts. The point at 1/3 is marked. If the same number line is divided into 6 equal parts, what fraction is at the same point?
The fraction at the same point is 2/6. One third and two sixths show the same location on the number line. - 13
Write two fractions that are equivalent to 1/4.
Multiply both the top and bottom numbers by 2, then try multiplying both by 3.
Two possible equivalent fractions are 2/8 and 3/12. They are found by multiplying the numerator and denominator of 1/4 by the same number. - 14
Simplify the fraction 6/12 by finding an equivalent fraction with smaller numbers.
The simplified fraction is 1/2. Dividing both the numerator 6 and the denominator 12 by 6 gives 1/2. - 15
Jamal says 2/6 is equivalent to 1/3 because both fractions can show the same amount of a whole. Draw or describe equal parts to prove he is correct.
Try making 3 equal groups from 6 equal parts.
Jamal is correct. If a whole is divided into 6 equal parts and 2 are shaded, the shaded part can be grouped into 1 out of 3 equal groups, so 2/6 = 1/3.