Fraction Vocabulary
To "decompose" means...
To take apart or to break apart
Is 4/5 closer to 0, 1/2, or 1?
1
The bigger the denominator...
the smaller the pieces
Decompose into a sum of unit fractions:
5/8
5/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8
What is an equivalent fraction?
A fraction that is equal in value, but has different digits in the numerator and denominator.
The top number in a fraction is called...
The numerator
Draw a number line and plot 5/8. Is it closer to 0, 1/2, or 1?
Teacher checks drawings
1/2
Compare:
1/2 ___ 5/12
1/2 > 5/12
Show two different ways to decompose 6/9
Possibilities include:
6/9 = 2/9 + 2/9 + 2/9
6/9 = 1/9 + 5/9
6/9 = 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9
1/2 is equivalent to 50/100
True
A unit fraction is...
A fraction with 1 in the numerator
Explain in words, where you would place 2/5 on a number line. Include whether it is closer to 0, 1/2, or 1 in your answer.
2/5 is closest to 1/2, but is smaller. It would be placed near the 1/2 mark, but on the left side to show that it is smaller than one half.
Compare:
9/12 ____ 3/4
9/12 = 3/4
Decompose 3/8 as the product of a whole number and a unit fraction.
3/8 = 3 x 1/8
3/8 = 1/8 x 3
Give a fraction equivalent to 3/4 show your work with a number sentence.
Answers will vary but must be in format of"
3/4 = 3/4 x n/n = t/t
The product of a whole number and unit fraction is...
When you make a multiplication sentence from the sum of unit fractions. The unit fraction is what's repeated and the whole number is how many times it is repeated.
Draw a number line partitioned into fifths. Decompose 2/5 into 4 equal pieces. What fraction is equivalent to 2/5?
Answer must be shown on the number line.
4/10
Compare:
1/10 ___ 1/5
1/10 < 1/5
Decompose 4/5 as a sum of unit fractions AND a product of a whole number and a unit fraction.
4/5 = 1/5 + 1/5 + 1/5 + 1/5
4/5 = 4 x 1/5
or
4/5= 1/5 x 4
Are 4/7 and 20/35 equivalent? How do you know?
Yes because 4/7 x 5/5 = 20/35
An addition sentence that shows the addition of unit fractions (1/n + 1/n +...) until the desired sum is reached.
Draw a number line partitioned into eighths. Decompose 5/8 into 15 equal pieces. What fraction is equivalent to 5/8?
15/24
Compare:
49/100 ___ 5/10
49/100 < 5/10
Show one way to decompose 6/10. Show your answer in a number sentence AND a tape diagram.
Answers will vary, but must include a tape diagram labeled with:
* a 1 to show one whole
* Brackets and labels to show the chosen decomposition
Give two different fractions equivalent to 6/9. Give your answer in number sentences. One must show division and one must show multiplication.
6/9 = 6/9 (divided by) 3/3 = 2/3
Multiplication sentences will vary but must be in the format of:
6/9 = 6/9 x n/n = t/t