Fractions With Like Denominators

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 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.

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

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

= 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 Answer: 1 2 9

Try Some = = =

Fraction Word Problems About 3 / 10 of the Earth’s surface is covered by land, and the rest is water. What fraction of Earth’s surface is covered by water?

A concert was 3 5 / 6 hours long. The first musical piece lasted 2 / 6 hour. The intermission lasted 4 / 6 hour. How many hours was the rest of the concert?

Megan plans to make 2 costumes for a school play. She has 10 yards of fabric. She needs 3 2 / 3 yards of fabric for one costume and 5 ⅔ yards of fabric for the other. How much fabric will be leftover?

Sam, John, Matt, and Bob are going to drive to Florida. It is a 9 ¾ hour drive. Sam drove 1 1 / 4 hours. John drove 1 3 / 4 hours. Matt drove 2 1 / 4 hours. How many hours did Bob drive if he drove the remaining time?

John had a board 33 ¾ inches long. He cut off 1 1 / 4 inch so that it would fit a shelf. How long is the board now?

Lindsay has 12 hats. She has 5 red hats, 2 blue hats, and 3 black hats. What fraction of Lindsay’s hats are a different color than red, blue, or black?

Terry ran 1/10 of the distance from school to home. Then he walked 3/10 more of the distance and then skipped 2/10 more. What fraction of the distance home does Terry still have to go?

Jackie ate 1/5 of a bag of popcorn. She then shared the rest with Brendan. The two of them finished the bag. What are 3 different ways they could have shared the remaining popcorn?

2/10 4/10 1/10 3/10 What fraction of the set is either triangles or rectangles? Which two shapes make up 7/10 of the shapes in the set?

Mr.Wheeler uses 4/6 of a sheet of plywood to board up a window. How much plywood is left?

In Sammie’s class, 2/9 of the students are wearing orange shirts. What fraction of students are not wearing orange shirts?

Ft.Worth’s zoo has two elephants. The male elephant weighs 4 3/4 tons and the female elephant weighs 3 1/4 tons. How much more does the male weigh than the female?

A restaurant bought 9 3/5 pounds of rice. They used 5 1/5 pounds of it. How much rice is left?

While taking inventory at her pastry shop, Kristen realizes that she had 5 2/3 boxes of baking powder yesterday, but the supply is now down to 1 1/3 boxes. How much more baking powder did Kristen have yesterday?

Ronald stocked up on two kinds of oatmeal: 2 1/4 cups of instant oatmeal and 8 1/4 cups of old- fashioned oatmeal. How much oatmeal did Ronald buy in all?