Adding and Subtracting Fractions and Mixed NumbersToday you will learn to:• solve problems by adding and subtracting fractions.• solve problems by adding and subtracting mixed numbers.

M07.A-N.1.1.1, M07.A-N.1.1.2: To apply properties of operations to add and subtract rational numbers, including real-world contexts; To represent addition and subtraction on a horizontal or vertical number line.

Warm-up Problem: Adding Warm-up Problem: Adding FractionsFractionsCarla decided to visit New York City to do some site-seeing. She walked from the Empire State Building to the Museum of Modern Art. How far did she walk?

A fraction is an ordered pair of whole numbers, the 1st one is usually written on top of the other, such as ½ or ¾ .

The denominator tells us how many congruent pieces the whole is divided into, thus this number cannot be 0.

The numerator tells us how many such pieces are being considered.

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Review: What are Review: What are Fractions?Fractions?

Adding and Subtracting Fractions with Common Denominators

Adding and Subtracting Fractions with Different Denominators

Subtracting Mixed NumbersRenaming• Sometimes you may need to rename one of the numbers before subtracting.