Section 4.1 Part 2: Finding Equivalent Fractions*********Practice!!!

How many fifteenths equal four-fifths? Consider using fraction tiles to find the answer. Enter your answer as a whole number.

12 It takes twelve 1/15 tiles to exactly cover four 1/5 tiles, so 4/5=12/15.

Find a fraction that is equivalent to, but different from, 7/13.

14/26 To find a fraction equivalent to 7/13, we multiply the numerator and denominator by the same number (but not zero). As an example, let us multiply them by 16, 10, and 15. 7⋅16 top 13⋅16 bottom= 112/208 7⋅10 top 13⋅10 bottom= 70/130 7⋅15 top 13⋅15 bottom= 105/195 So, 112/208, 70/130, and 105/195 are equivalent to 7/13, but any equivalent will do for your answer.

Use fraction tiles to find equivalent fractions. How many ninths equal one-third? Enter your answer as a whole number.

3 It takes three 1/9 tiles to exactly cover one 1/3 tile, so 1/3=3/9.

Find a fraction with a denominator of 176 that is equivalent to 2/11.

32/176 To find equivalent fractions, we multiply the numerator and denominator by the same number. In this case, we need to multiply the denominator by a number that will result in 176.Since we can multiply 11 by 16 to get 176, we can find the equivalent fraction by multiplying both the numerator and denominator by 16. 2/11= 2⋅16 top 11⋅16 bottom =32/176 multiply numerator and denominator by 16 2*16=32 11*16=176

Find a fraction with a denominator of 16 that is equivalent to 14.

4/16 To find equivalent fractions, we multiply the numerator and denominator by the same number. In this case, we need to multiply the denominator by a number that will result in 16.Since we can multiply 4 by 4 to get 16, we can find the equivalent fraction by multiplying both the numerator and denominator by 4. 1/4= 1*4 top bottom 4*4 = 4/16

Find a fraction that is equivalent to, but different from, 1/6.

6/36 or 1/6 To find a fraction equivalent to 1/6, we multiply the numerator and denominator by the same number (but not zero). As an example, let us multiply them by 17, 14, and 18. 1⋅17 (top) 6⋅17(bottom) = 17/102 1⋅14 top 6⋅14 bottom = 14/84 1⋅18 top 6⋅18bottom =18/108 So, 17/102, 14/84, and 18/108 are equivalent to 16, but any equivalent will do for your answer.

Use fraction tiles to find equivalent fractions. How many twelfths equal three-fourths? Enter your answer as a whole number.

9 It takes nine 1/12 tiles to exactly cover three 1/4 tiles, so 3/4=9/12.

Use fraction tiles to find equivalent fractions. How many tenths equal three-fifths? Enter your answer as a whole number.

Correct answers:6 It takes six 1/10 tiles to exactly cover three 1/5 tiles, so 3/5=6/10.

Find a fraction equivalent to, but different from, 1/14.

Correct answers:6/84 ​​ To find a fraction equivalent to 1/14, we multiply the numerator and denominator by the same number (but not zero). As an example, let us multiply them by 16, 15, and 6. 1⋅16 top 14⋅16 bottom = 16/224 1⋅15 top 14⋅15 bottom=15/210 1⋅6 top 14⋅6 bottom =6/84 So, 16/224, 15/210, and 6/84 are equivalent to 1/14, but any equivalent will do for your answer.