Fraction Decomposition and Equivalence
Show 4/6 as a sum of unit fractions.
4/6 = 1/6 +1/6 +1/6 +1/6
Show that 1/5 and 2 /10 are equivalent by drawing a model. Then write an equation to express the equivalence as a sum.
1/5 = 1/ 10 + 1/10
Plot the fractions on a number line. Use >, = or < to compare the fractions.
1/4, 9/10, 5/8
1/4, 5/8, 9/10
Add or subtract in unit form.
2 fifths + 1 fifth = _____ fifth
7 tenths - 4 tenths = ______ tenths
2 fifths + 1 fifth = 1 fifth
7 tenths - 4 tenths = 3 tenths
Write an equation to express the fraction as a whole number times a unit fraction.
7/12
7/12 = 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12
Write two different equations to show the fraction composed into a sum of unit fractions.
9/10
9/10 = 8/10 +1/10
9/10 = 5/10 + 4/10
9/10 = 3/10 + 6/10
9/10 = 7/10 + 2 /10
Find two equivalent fractions for 1/6.
2/12 or 3/18 or 4/24
True or False: 11/12 < 9/10
False
3/3 + 2/3 =
2 5/6 +3 2/6 =
5/3
6 1/6
Find the product.
4 x 3/10
12/10 or 1 2/10
Write an equation to decompose 4/3.
4/3 = 2/3 + 2/3
4/3 = 1/3 + 1/3 + 1/3 +1/3
4/3 = 3/3 + 1/3
Complete each equation to show an equivalent fraction.
2/4 = ___/8 4/5 = 8/____
2/4 = 4/8 4/5 = 8/10
Rename the pair by using common denominators.
2/3 ________ 1/2
2/3 = 2x2/2x3 = 4/6
1/2 = 3x1/3x2 = 3/6
2/3 > 1/2
Subtract.
2 - 3/4 =
1 2/8 -7/8 =
5/4
3/8
A rectangular garden measures 9 feet by 3/4 feet. What is the area of the garden?
27/4 or 6 3/4
Rename the fraction greater than 1 as a mixed number.
14/4
3 2/4 or 3 1/2
Complete each equation to show an equivalent fraction.
3/9 = 1/____ 8/10=____/5
3/9 = 1/3 8/10= 4/5
Compare the fractions by using >, = or <.
3 5/12 ______ 3 2/4
3 5/12 < 3 2/4
Subtract
4 5/6 - 2 3/6 =
7 2/6 - 3 5/6 =
2 2/6
3 3/6 or 3 1/2
Multiply by using the distributive property.
3 x 5 2/8
4 x 4 2/10= 4 x (4 + 2/10)
= (4 x 4) + (4 x 2/10)
= 16 + 8/10
= 16 8/10
Mr. Davis slices some bread. Adam takes 5 1/2 slices of bread. Jayla takes 11/2 slices of bread. Did they take the same amount of bread? Show and explain.
Yes, Adam and Jayla took the same amount of bread.
11/2 = 5 1/2
Mr. Endo needs 6/8 cups of sugar to bake muffins. Liz says that is the same amount as 2/4 cups of sugar. Is Liz correct? Show and explain.
No, Liz is not correct. 2/4 is = 1/2
6/8 is not = 1/2
Ray and Zara run around a track. Ray runs 7/10 miles. Zara runs 4/6 miles. Did Ray or Zara run the least number of miles? Explain.
Zara ran the least number of miles. I renamed 7/10 as 28/40 so Ray ran 28/40 miles. I renamed 4/6 as 28/42 so Zara ran 28/42 miles. I know that 28/40 > 28/42.
Emily rides her bike 15 3/10 kilometers on Saturday and Sunday combined. She rides 7 6/10 kilometers on Sunday. How many kilometers does Emily ride on Saturday?
Emily rides 7 7/10 kilometers on Saturday.
Bobby runs 5 3/10 miles each day. How many miles does Bobby run in 2 weeks? (Hint: 1 week = 7 days)
14 x 5 3/10
Bobby runs 74 2/10 miles in 2 weeks.