Unit 5 Review

Compare: $\frac{3}{4}\ \ \ \ \ \frac{3}{5}$  

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Answer explanation

Fifths are smaller, so 3 of them will be less than 3 fourths.

Compare: $\frac{2}{6}\ \ \ \ \ \ \ \frac{4}{6}$  

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Answer explanation

The denominators are the same, so we just compare the numerator. 4 is more than 2.

Compare: $\frac{2}{6}\ \ \ \ \ \ \ \frac{1}{3}$  

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Answer explanation

The denominators are not the same, so we have to multiply by a fraction equal to one to make it the same.  $\frac{1x2}{3x2}=\frac{2}{6}$  , so the fractions are equal!

Solve: $\frac{2}{3}+\frac{1}{3}=$  

Answer explanation

First, look at the denominators to see if they match. They do, so we carry them forward. Then just solve the numerators. 2+1=3. (3/3 is the same as 1!)

Solve: $1\frac{2}{6}+4\frac{1}{6}=$  

Answer explanation

First, look at the denominators to see if they match. They do, so we carry them forward. Then just solve the numerators. 2+1=3. Finally add together the whole numbers 1+4=5

Solve: $4\frac{4}{6}-1\ \frac{1}{6}=$  

Answer explanation

Pull apart the whole numbers and fractions. Fractions FIRST: First, look at the denominators to see if they match. They do, so we carry them forward. Then just solve the numerators. 4-1=3. Finally subtract the whole numbers 4-1=3.

Solve: $4\frac{1}{6}-1\ \frac{4}{6}=$  

Answer explanation

Pull apart the whole numbers and fractions. Fractions FIRST: First, look at the denominators to see if they match. They do, so we carry them forward. Then just solve the numerators. 1-4= UH OH! We'll need to borrow from the whole numbers. (6+1) -4 = 7-4 = 3. Finally subtract the whole numbers 3-1=2.

Which is a pattern:

• 1/4, 4/4, 7/4, 10/4, 13/4

• 1/4, 2/4, 4/4, 7/4

• 1, 5, 3/4, 9, 10/4

• 1/3, 2/5, 4/2, 8/4, 4/8

Answer explanation

1/4+3/4= 4/4, 4/4+3/4= 7/4, 7/4+3/4= 10/4, 10/4+3/4 = 13/4. This is a patter of +3/4.