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Borrowing with Fractions

Borrowing with Fractions. NS 2.1 Solve problems involving addition, subtraction , multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.

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Borrowing with Fractions

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  1. Borrowing with Fractions

  2. NS 2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation. • Today’s objective: use our previous topics of equivalent fractions to help add and subtract fractions. • Learning target: Answer at least 3 of the 4 fraction addition/subtraction problems correctly on the exit ticket.

  3. We are used to borrowing when subtracting integers and decimals: But how do we borrow when we are trying to subtract a bigger fraction from a smaller one?

  4. Since we need to borrow from the 2 wholes. But how exactly do we do that? Let’s represent the fractions with pictures to visualize.

  5. How can we create more 4ths in the top fraction so we have enough to subtract? Divide up one of the whole pieces into 4ths.

  6. Now how would you write the top fraction? We lost one of the whole pieces, but we gained 4 more 4ths. Now we have 1+4 = 5 4ths.

  7. Now we can subtract: How much is left?

  8. Reduce the wholes by 1 and add the denominator to the numerator. • How do we borrow when subtracting fractions?

  9. Change to borrowed form:

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