Simplifying Fractions

Question 1

A gardener is mixing two fertilizers. The recipe calls for 1/4 cup of fertilizer A and 5/6 cup of fertilizer B. To write both amounts as fractions with the same denominator of 24, which pair should she use?

Accepted Answer

6/24 and 20/24

Answer

6/24 and 15/24

Answer

3/24 and 20/24

Answer

6/24 and 10/24

Question 2

Lila counted the tickets for a school fair. Out of 30 tickets, 20 are golden. What is the fraction of golden tickets in simplest form?

Accepted Answer

2/3

Answer

4/6

Answer

20/30

Answer

5/7

Question 3

Jordan writes the fraction 9/12 to show nine out of twelve equal parts of a chocolate bar. He simplifies it by dividing both numbers by 3 and gets 3/4. Which statement best explains why 3/4 is equivalent to 9/12?

Accepted Answer

Dividing the numerator and denominator by the same number reduces each part and the whole by equal amounts, so the proportion of part to whole stays the same.

Answer

Dividing the numerator makes the fraction represent a smaller amount, so the value changes.

Answer

Only the denominator needs to be divided to keep the fraction unchanged.

Answer

You can divide by a common factor only when it is the greatest one; otherwise the fraction would change.

Try three questions

A gardener is mixing two fertilizers. The recipe calls for 1/4 cup of fertilizer A and 5/6 cup of fertilizer B. To write both amounts as fractions with the same denominator of 24, which pair should she use?

Lila counted the tickets for a school fair. Out of 30 tickets, 20 are golden. What is the fraction of golden tickets in simplest form?

Jordan writes the fraction 9/12 to show nine out of twelve equal parts of a chocolate bar. He simplifies it by dividing both numbers by 3 and gets 3/4. Which statement best explains why 3/4 is equivalent to 9/12?

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