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7th Fractionology - Simplify

Last updated over 2 years ago
15 questions
Note from the author:
Mix of problems from different sources
1

TRY IT OUT:

Daniel was putting away leftover lasagna that his mother had made for dinner.
Originally, the lasagna was cut into 4 equal pieces and after dinner only 3 pieces were left.
Daniel needed to cut them all in half in order to fit the lasagna in the container to go in the fridge.
As he was doing this, he wondered "How can you make something smaller but still end up with more than you started with?"

~~Write a fraction representing how much lasagna was left after dinner. ~~

1

Write another fraction representing how much lasagna was left after it was cut in half.

1

Does Daniel really have more lasagna after he cut them? Explain what is going on here

Daniel noticed a very important connection. He noticed that any fraction in which the numerator and denominator are the same is ALWAYS equal to 1.

In addition, multiplying a number by 1 leaves the number unchanged. ( 2 x 1 = 2)

"Whoa" said Daniel. "I can use this idea to create all kinds of equivalent fractions. It's like multiplying the fraction by a GIANT ONE!! "
3

Think about the connection Daniel just made.
Would it work for any fraction?
Is 3/5 equivalent to 6/10?

How can you be sure?

1

Find at least 2 other fractions that are equivalent to 3/5

3

Fill in the missing fractions to create the equivalent one.

1

Complete the problem

1
2

Does Tessa's work make sense? is 11/100 expressed in lowest terms? How can you tell when a fraction is in it's lowest form?

1

Simplify the fraction
24/36

1

Simplify the fraction
30/48

1

Simplify the fraction
16/20

1

Simplify the fraction
15/18

1

Simplify the fraction
12/27

1

Simplify the fraction
44/66