Even / Odd Numbers

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ACT Math › Even / Odd Numbers

Questions 1 - 10

Solve: $80\div6$

$\frac{40}{3}$

Explanation

This problem can be solved using common factors.

Rewrite $80\div6$ using factors.

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

Solve: $80\div6$

$\frac{40}{3}$

Explanation

This problem can be solved using common factors.

Rewrite $80\div6$ using factors.

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

Solve:

Explanation

Add the ones digits:

Since there is no tens digit to carry over, proceed to add the tens digits:

The answer is .

Divide: $308\div 36$

$\frac{77}{9}$

$\frac{102}{12}$

Explanation

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

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

Solve:

Explanation

Add the ones digits:

Since there is no tens digit to carry over, proceed to add the tens digits:

The answer is .

Divide: $308\div 36$

$\frac{77}{9}$

$\frac{102}{12}$

Explanation

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

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

Divide: $1028\div1004$

$\frac{257}{251}$

$\frac{267}{256}$

$\frac{6}{5}$

Explanation

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

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

Solve for in the following equation:

Explanation

There are two ways to approach this problem:

1. Use the rule that states that any two odd numbers multiplied together will yield another odd number.

Using this rule, only one answer is an odd number (29) which will yield another odd number (493) when multiplied by the given odd number (17).

2. Solve algebraically:

$\frac{493}{17}=29=x$

Solve for in the following equation:

Explanation

There are two ways to approach this problem:

1. Use the rule that states that any two odd numbers multiplied together will yield another odd number.

Using this rule, only one answer is an odd number (29) which will yield another odd number (493) when multiplied by the given odd number (17).

2. Solve algebraically:

$\frac{493}{17}=29=x$

Divide: $1028\div1004$

$\frac{257}{251}$

$\frac{267}{256}$

$\frac{6}{5}$

Explanation

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

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

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