The document defines equivalent fractions as fractions that represent the same value. A fractional equivalent of one is when the numerator and denominator are the same. To write a fraction in simplest form, you find the greatest common factor (GCF) of the numerator and denominator and divide both by the GCF. For the fraction 3/12, the GCF is 3. Dividing the numerator and denominator by 3 yields the simplest form of 1/4.

1. Name ___________________________________ Date __________________
Mrs. Labuski / Mrs. Rooney Per ___________ Lesson 4-5 Equivalent Fractions
VOCABULARY DEFINITION EXAMPLE
Fractions that represent
Equivalent the same value
1=2=4
Fractions 2 4 8
When the numerator
and denominator are
6=1
Fractional the same it equals one 6
Equivalent of whole.
Dividing by “one” does
One not change the value of
the number
When the GCF of the
numerator and the
denominator is one. 18 ÷ 6 = 3
~~~~~~~~~~~~
Simplest Form Divide by the GCF 24 ÷ 6 = 4
(Fractional equivalent
of one) to find the
simplest form.

2. To write a fraction in simplest form 3
12
1. Find the GCF of the numerator and denominator; 3: 1,3
12:1,2,3,4,6,12
2. Divide the numerator and denominator by the GCF 3÷ 3=1
(fractional equivalent of one) 12÷ 3 4
So 3 written in simplest form is 1
12 4
HINT: If the numerator is one, then the fraction is in simplest form!
HINT: See if the numerator IS the GCF!

3. Name ___________________________________ Date __________________
Mrs. Labuski / Mrs. Rooney Per ___________ Lesson 4-5 Equivalent Fractions
VOCABULARY DEFINITION EXAMPLE
Equivalent
Fractions
Fractional
Equivalent of
One
Simplest Form

4. To write a fraction in simplest form 3
12
1. Find the GCF of the numerator and denominator; 3: 1,3
12:1,2,3,4,6,12
2. Divide the numerator and denominator by the GCF 3÷ 3=1
(fractional equivalent of one) 12÷ 3 4
So 3 written in simplest form is 1
12 4
HINT: If the numerator is one, then the fraction is in simplest form!
HINT: See if the numerator IS the GCF!