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ACT Math : How to divide even numbers

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Example Questions

Example Question #13 : Integers

Solve: $80\div6$ $\displaystyle 80\div6$

Possible Answers:

$\displaystyle 12$

$\displaystyle 13$

14.5 $\displaystyle 14.5$

$\frac{40}{3}$ $\displaystyle \frac{40}{3}$

13.3 $\displaystyle 13.3$

Correct answer:

$\frac{40}{3}$ $\displaystyle \frac{40}{3}$

Explanation:

This problem can be solved using common factors.

Rewrite $80\div6$ $\displaystyle 80\div6$ using factors.

$\frac{80}{6}=\frac{2 \cdot 40}{2 \cdot 3} = \frac{40}{3}$ $\displaystyle \frac{80}{6}=\frac{2 \cdot 40}{2 \cdot 3} = \frac{40}{3}$

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Example Question #2 : How To Divide Even Numbers

Divide: $1028\div1004$ $\displaystyle 1028\div1004$

Possible Answers:

1.023 $\displaystyle 1.023$

$\displaystyle 7$

$\frac{257}{251}$ $\displaystyle \frac{257}{251}$

$\frac{267}{256}$ $\displaystyle \frac{267}{256}$

$\frac{6}{5}$ $\displaystyle \frac{6}{5}$

Correct answer:

$\frac{257}{251}$ $\displaystyle \frac{257}{251}$

Explanation:

Rewrite $1028\div1004$ $\displaystyle 1028\div1004$ by using common factors. Reduce to the simplest form.

$\frac{1028}{1004}=\frac{2\cdot 514}{2\cdot 502} = \frac{2\cdot 2\cdot257}{2\cdot 2\cdot251}=\frac{257}{251}$ $\displaystyle \frac{1028}{1004}=\frac{2\cdot 514}{2\cdot 502} = \frac{2\cdot 2\cdot257}{2\cdot 2\cdot251}=\frac{257}{251}$

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Example Question #3 : How To Divide Even Numbers

Divide: $2032\div 234$ $\displaystyle 2032\div 234$

Possible Answers:

$\frac{1016}{117}$ $\displaystyle \frac{1016}{117}$

8.6 $\displaystyle 8.6$

$\frac{38}{17}$ $\displaystyle \frac{38}{17}$

$\frac{106}{17}$ $\displaystyle \frac{106}{17}$

8.7 $\displaystyle 8.7$

Correct answer:

$\frac{1016}{117}$ $\displaystyle \frac{1016}{117}$

Explanation:

Rewrite $2032\div 234$ $\displaystyle 2032\div 234$ and use common factors to simplify.

$\frac{2032}{234}=\frac{2\cdot1016}{2\cdot 117}=\frac{1016}{117}$ $\displaystyle \frac{2032}{234}=\frac{2\cdot1016}{2\cdot 117}=\frac{1016}{117}$

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Example Question #531 : Arithmetic

Divide: $308\div 36$ $\displaystyle 308\div 36$

Possible Answers:

$\frac{77}{9}$ $\displaystyle \frac{77}{9}$

8.5 $\displaystyle 8.5$

9.6 $\displaystyle 9.6$

$\frac{102}{12}$ $\displaystyle \frac{102}{12}$

8.6 $\displaystyle 8.6$

Correct answer:

$\frac{77}{9}$ $\displaystyle \frac{77}{9}$

Explanation:

Rewrite $308\div 36$ $\displaystyle 308\div 36$ by using factors. Simplify until the answer cannot be reduced any further.

$\frac{308}{36} = \frac{2\cdot 154}{2\cdot 18} = \frac{2 \cdot 2\cdot 77}{2\cdot 2\cdot 9} = \frac{77}{9}$ $\displaystyle \frac{308}{36} = \frac{2\cdot 154}{2\cdot 18} = \frac{2 \cdot 2\cdot 77}{2\cdot 2\cdot 9} = \frac{77}{9}$

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ACT Math : How to divide even numbers

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #13 : Integers

Example Question #2 : How To Divide Even Numbers

Example Question #3 : How To Divide Even Numbers

Example Question #531 : Arithmetic

All ACT Math Resources

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