ACT Math : How to divide fractions

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #155 : Fractions

\dpi{100} \small \frac{1}{3}\div \frac{3}{5} =

Possible Answers:

\dpi{100} \small \frac{5}{9}

\dpi{100} \small \frac{2}{5}

\dpi{100} \small \frac{1}{5}

\dpi{100} \small \frac{2}{3}

\dpi{100} \small \frac{3}{8}

Correct answer:

\dpi{100} \small \frac{5}{9}

Explanation:

Cross multiply or multiply using the reciprocal of the second fraction. 

Example Question #161 : Fractions

Simplify the following expression:

 

 

Possible Answers:

Correct answer:

Explanation:

 

 

 

 

 

 

Example Question #162 : Fractions

Evaluate the following:

 

Possible Answers:

Correct answer:

Explanation:

Start by converting 71/to 22/3, and 6 2/to 20/3. We then multiply 22/3 by the reciprocal of 20/3, 3/20, and you get 66/60. This simplifies to 11/10.

Example Question #163 : Fractions

Solve.

 

Possible Answers:

Correct answer:

Explanation:

Remember, to divide a number by a fraction, multiply the number by the reciprocal of the fraction. In this case,

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