Examples for

Common Core Math: Grade 5: Fractions

In fifth grade, students build fluency with adding and subtracting fractions, including when the fractions have unlike denominators. Students also perform multiplication and division with fractions, using visual models to demonstrate their thinking. Students use operations with fractions in real-world contexts, such as computing areas of rectangles with fractional side lengths and dividing quantities into equal groups with fractional measurements.
Common Core Standards

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CCSS.Math.Content.5.NF.A.1
fifth grade common core standard NF.B.6

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what common core standards about fractions do 5th graders learn?
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Addition & Subtraction

Perform addition and subtraction with fractions and mixed numbers.

Add and subtract fractions (CCSS.Math.Content.5.NF.A.1):

1/4 + 2/3
7/8 - 5/12
four fifths + three eighths

Add and subtract mixed numbers (CCSS.Math.Content.5.NF.A.1):

2 1/4 + 4 1/2
3 2/5 - 2 1/2
three and one fourth + two and a half
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Multiplication

Perform multiplication with fractions.

Multiply a fraction by a fraction (CCSS.Math.Content.5.NF.B.4):

1/2 * 3/5
3/4 times 4/6
area of a 2/3 by 4/5 rectangle

Multiply a fraction by a whole number (CCSS.Math.Content.5.NF.B.4a):

3/5 * 10
4/3 * 12
four * five eighths

Multiply with mixed numbers (CCSS.Math.Content.5.NF.B.6):

3/4 * 1 1/2
1 1/2 * 2 1/3
3 and a half * 2 and a fifth

Compare the magnitudes of products of fractions (CCSS.Math.Content.5.NF.B.5):

which is greater, 7 or 5/4 * 7?
is 2 greater than 3/4 * 2?
compare 5 and 3/3 * 5
is half of 14 bigger than 14?
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Division

Perform division with fractions.

Divide a fraction by a whole number (CCSS.Math.Content.5.NF.B.7a):

1/3 ÷ 5
1/5 divided by 2
half divided by 6

Divide a whole number by a fraction (CCSS.Math.Content.5.NF.B.7b):

6 ÷ (1/3)
10 divided by 1/2
twelve over a quarter
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