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Operations with Fractions

5 min readGrade 6 · Number

Fraction arithmetic is the culmination of elementary number work. Finding a common denominator to add fractions brings together equivalence and place value thinking. Multiplying by a fraction (half of 3/4 is 3/8) surprises students — multiplying makes a result smaller. That counter-intuitive result deserves a visual explanation.

What students explore

Fraction arithmetic is the culmination of elementary number work. Finding a common denominator to add fractions brings together equivalence and place value thinking. Multiplying by a fraction (half of 3/4 is 3/8) surprises students — multiplying makes a result smaller. That counter-intuitive result deserves a visual explanation.

Key ideas

Add and subtract fractions with unlike denominators. Multiply a whole number by a fraction. Divide a whole number by a unit fraction. Apply fraction operations to real-world problems.

Putting it together

Apply these ideas through hands-on activities, guided practice, and real-world problems.

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