Core Focus on Decimals & Fractions Lesson 3.2 Core Focus on Decimals & Fractions Equivalent Fractions

Warm-Up Fill in the missing number to complete each equation. __ × 7 = 56 36 ÷ __ = 4 5 × __ = 35 72 ÷ __ = 9 8 9 7

Write equivalent fractions. Lesson 3.2 Equivalent Fractions Write equivalent fractions.

Vocabulary Fraction A number written as . Good to Know!  A fraction represents part of a whole number.  The denominator in a fraction cannot be 0.  The line between the numerator and the denominator can be read “out of.” Equivalent Fractions Two fractions that name the same amount. The same amount of each rectangle is colored. This means that is equivalent to .

Creating Equivalent Fractions Equivalent fractions are created by multiplying or dividing the numerator and denominator by the same amount.  4  7

Example 1 Use multiplication to find the missing number in the equivalent fraction. a. The denominator of 2 was multiplied by 4 to make a denominator of 8. Since the denominator was multiplied by 4, the numerator must also be multiplied by 4. The missing number is 4.  4 4  4

Example 1 Continued… Use multiplication to find the missing number in the equivalent fraction. b. The numerator of 3 was multiplied by 2 to make a numerator of 6. Since the numerator was multiplied by 2, you must multiply the denominator by 2. The missing number is 16.  2 16  2

Explore! Creating Equivalent Fractions Step 1 Choose a fraction from the purple box. Create a model of this fraction using fraction tiles. Draw or trace the fraction on paper. Step 2 Use the fraction tiles to make an equivalent fraction with a smaller denominator. Record this on your paper to show that the two fractions are equivalent. Step 3 Repeat Steps 1–2 for four additional fractions from the purple box.

Explore! Creating Equivalent Fractions Step 4 Compare each of your fractions from the purple box to the equivalent fractions you formed. Were the original numerator and denominator multiplied or divided by a number to get the new fraction? Step 5 Try to find equivalent fractions with smaller numerators and denominators for the fractions below without use a model.

Example 2 Use division to find the missing number in the equivalent fraction. a. The denominator of 16 was divided by 2 to make a denominator of 8. The denominator was divided by 2. The numerator must also be divided by 2. The missing number is 4.  2 4  2

Example 2 Continued… Use division to find the missing number in the equivalent fraction. b. The numerator of 12 was divided by 12 to make a numerator of 1. The numerator was divided by 12. The denominator must also be divided by 12. The missing number is 3.  12 3  12

Communication Prompt How many fractions could you write that are equivalent to ? Explain your answer.

Exit Problems Write two equivalent fractions for .