Entering Decimals Worksheet - Grade 7 Page 20
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415.6: The student will solve single-step and multistep practical problems involving addition and subtraction with
fractions and mixed numbers and express answers in simplest form.
5.7: The student will add and subtract with fractions and mixed numbers, with and without regrouping, and express
answers in simplest form. Problems will include like and unlike denominators limited to 12 or less.
NOTES
Fractions
*Fractions
-A fraction is a symbol used to name a part of a whole, a part of a set, a location on a number
line, or a division of whole numbers.
Numerator –number of parts of the whole
2
3
Denominator –total number of equal parts
The larger the denominator the smaller each piece of the whole is. This is because the whole needs to
be separated into more pieces.
Improper Fractions
*Help in your textbook can be found on page 394
Exercise 1
Write fractions that tell the following information:
An improper fraction has a numerator greater than its denominator.
(answers on page 39)
A mixed number has a whole number and a fraction.
Like
*Adding & Subtracting Decimals with
Denominators
1.
Count two of five equal parts
7
1
Step 1: Make sure the denominators are the same
5 + 3 =
2.
Count one of four equal parts
=
= 2
10
10
3
3
3.
Count eleven of twelve equal parts
Step 2: Add or subtract the numerators
5 + 3
=
8
10
10
10
4.
Count three of five equal parts
PRACTICE
Step 3: The denominator stays the same
5 + 3 =
8
10
10
10
Write the fraction for each situation.
5.
Count twenty of fifty equal parts
Step 4: Simplify if necessary
8
÷ 2 = 4
10
÷ 2 = 5
6.
It’‛ s 25 miles to Gramma’‛ s . We have already driven 11 miles. What
1.
*Help in your textbook can be found on page 460
fraction of the way have we driven?
7.
A pizza was cut into twelve slices. Seven were eaten. What fraction of
2.
the pizza was eaten?
8.
There are 24 students in a class. 8 have passed the fractions test.
3.
What fraction of the students have passed fractions?
The Fraction Form of One
Because fractions show how many parts the whole has been divided into and
how many of the parts to count, the form also hints at the number of parts
20
needed to make up the whole thing. If the bottom number (denominator) is
5
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