7.1
3/5 + 1/5 =
4/5
A painter mixed 1/4 quart of red paint with 3/4 blue paint to make purple paint. Draw a fraction bar and tell how much purple paint the painter made.
4/4 or 1 quart of purple paint.
Write the fraction as a sum of unit fractions.
4/12
1/12 + 1/12 + 1/12 + 1/12
Bob completed 9/12 of his homework problems. Write a fraction that is equivalent to 9/12.
3/4
what is a FRACTION?
A number that names a part of a whole or part of a group.
2/3 - 1/3 =
1/3
Three girls are selling cases of popcorn to earn money for a band trip. In week 1, Emily sold 2 3/4 cases, Brenda sold 4 1/4 cases and Shannon sold 3 1/2 cases. How many cases of popcorn have the girls sold in all? EXPLAIN HOW YOU FOUND YOUR ANSWER.
10 1/2 cases. You can add the whole numbers 2+4+3=9 cases. Then, add the fractions by combining 3/4 + 1/4 into one whole. So 9 + 1 + 1/2 = 10 1/2.
Write the fraction as a sum of unit fractions.
6/8
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
Describe his error:
Luke says 1/5 + 2/5 = 3/10
When you add 1 fifth-size part and 2 fifth-size parts, you get 3 fifth-size parts, or 3/5. When you add fractions, you are combining parts of a whole. However, by adding parts you are not changing their sizes.
What is the number above the bar in a fraction that tells how many parts of the whole or group are being considered?
the numerator
5/8 - 3/8 =
2/8 or 1/4
Henry ate 3/8 of a sandwich. Keith ate 4/8 of the same sandwich. How much more of the sandwich did Keith eat than Henry?
1/8 of the sandwich.
Leena walked 2/3 of a mile. What is 2/3 written as a sum of unit fractions with a denominator of 9?
1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9
Find the sum or the difference:
1/4 + 1/4 =
2/4 or 1/2
What does the bottom number (denominator) tell you?
How many equal parts are in the whole or in the group.
3/4 - 1/4 =
2/4 or 1/2
Teresa planted marigolds in 2/8 of her garden and petunias in 3/8 of her garden. What fraction of the garden has marigolds AND petunias?
Teresa's garden has 5/8 marigolds and petunias.
An apple is cut into 6 equal slices. Nancy eats 2 of the slices. What fraction of the apple is left?
4/6
Christopher mixes 3/8 gallon of red paint with 5/8 gallon of blue paint to make purple paint. He uses 2/8 gallon of the purple paint. How much purple paint is left?
6/8 gallon or 3/4 gallon of purple paint is left.
What is a benchmark?
A known size or amount that helps you understand a different size or amount.
Cindy had two jars of paint. One jar is 3/8 full. The other jar is 2/8 full. Use the fractions to write an equation that shows the amount of paint Cindy has.
1/8, 2/8, 3/8, 5/8, 7/8
3/8 + 2/8 = 5/8
Jill is making a long cape. She needs 4 1/3 yards of blue fabric for the outside of the cape. She needs 3 2/3 yards of purple fabric for the lining of the cape.
Jill incorrectly subtracted the two mixed numbers to find how much more blue fabric than purple fabric she should buy. Her work is shown below.
4 1/3 - 3 2/3 = 12/3 - 9/3 = 3/3
Why is Jill's work incorrect?
Jill changed only the whole number parts of the mixed number to thirds. She forgot to add the fraction part of the mixed number.
Which of these numbers is a prime number:
1, 11, 21, 51?
11
A city worker is painting a stripe down the center of Main Street. Main Street is 8/10 mile long. The worker painted 4/10 mile of the street. EXPLAIN how to find what part of a mile is left to paint.
Subtract 8/10 - 4/10.
Subtract the numerators: 8 - 4 = 4.
The difference is the numerator.
The denominator, 10, stays the same.
What is a multiple?
The product of a number and a counting number is called a multiple of the number.