Fractions With Like Denominators Terminology Like decimals fractions

$Terminology Like decimals, fractions represent parts of numbers. A fraction is usually a number$

$To add or subtract fractions with like denominators: • If the denominators are already$

Adding and Subtracting Fractions with like Denominators You know that the bottom number of

$What are the denominators in these fractions? Two Six Eight Five Three Remember the$

$You have learned to add fractions using pictures. = + 3 + 1 4$

$When you add and subtract fractions you COPY the denominator, then you work on$

Examples 1 5 + 2 5 = This answer cannot be reduced any further.

$8 3 + 9 9 11 = 9 This is an improper fraction (the$

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Fractions With Like Denominators

$Terminology Like decimals, fractions represent parts of numbers. A fraction is usually a number$

Terminology Like decimals, fractions represent parts of numbers. A fraction is usually a number that is between 0 and 1. Numerator - number on top Denominator - number on bottom

$To add or subtract fractions with like denominators: • If the denominators are already$

To add or subtract fractions with like denominators: • If the denominators are already the same, then you’re ready to add or subtract. • Add or subtract the numerators. Keep the denominators the same. • Simplify (reduce) the fraction, if possible. • If you end up with an improper fraction, change it to a mixed number.

Adding and Subtracting Fractions with like Denominators You know that the bottom number of a fraction tells how may parts each whole is divided into. In this picture each circle is divided into 4 parts so the bottom number for this fractions is 4. 4 We use or shade 5 parts so the top number of this fraction is 5. The picture shows the fraction 5. 4 In a fraction the bottom number has a special name. The bottom number in a fraction is called the denominator. The denominator or the bottom number in a fraction tells how many parts each whole is divided into.

$What are the denominators in these fractions? Two Six Eight Five Three Remember the$

What are the denominators in these fractions? Two Six Eight Five Three Remember the bottom number in a fraction is called the denominator.

$You have learned to add fractions using pictures. = + 3 + 1 4$

You have learned to add fractions using pictures. = + 3 + 1 4 3 = 5 3 Fractions can be added and subtracted without using pictures. When you add and subtract fractions you do not work on the top and the bottom the same way.

$When you add and subtract fractions you COPY the denominator, then you work on$

When you add and subtract fractions you COPY the denominator, then you work on the top. Remember, you copy the denominator and then you work on the top. + 5 4 3 4 = Look at this problem. What is the denominator? Yes, it’s 4. What do you do with the denominator? You copy it in the answer so the denominator in the answer is 4. 4 Now we can add the numbers on the top. What do we get when we add 5 + 3? 5 + 3 = 8. We put the 8 on top in the answer so 5 + 3 = 8. 4 4 4

Examples 1 5 + 2 5 = This answer cannot be reduced any further. 3 5

9 14 5 = 4 ÷ 22 = 2 14 14 7 The GCF of 4 and 14 is 2, so we divide by 2 to reduce.

$8 3 + 9 9 11 = 9 This is an improper fraction (the$

8 3 + 9 9 11 = 9 This is an improper fraction (the top is bigger than the bottom), so we want to change it to a mixed number. To do this, divide the bottom into the top. 1 9 11 9 2 Answer: 1 2 9

7 12 Try Some 5 1 = 6 12 4 1 5 + = 7 7 7 8 + 12 = 15 15 1 1 3