Transcript Adding and Subtracting Like Fractions

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
1
5
2
+
5
=
This answer cannot be
reduced any further.
3
5
9
14
5 = 4 ÷2= 2
14
14
7
The GCF of 4 and 14 is 2, so we divide by 2 to
reduce.
8
9
3
+ 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
Try Some
7
12
5
1
=
6
12
4
1
5
+
=
7
7
7
8 + 12
=
15
15
1
1
3
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/ inch so that it would fit a shelf. How long is
4
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 oldfashioned oatmeal. How much
oatmeal did Ronald buy in all?