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^{9}⁄_{18} is equivalent to which fraction?

When the numerator and denominator of a fraction are divided or multiplied by the same number, the product is an equivalent fraction. In this case, the numerator and denominator of 9/81 can be divided by nine, giving 1/9.

#### 2 ^{3}⁄_{4} + 12 ^{6}⁄_{8} =

2 ^{3}⁄_{4} + 12 ^{6}⁄_{8} =
First, ensure both fractions have a common denominator:
2 ^{6}⁄_{8} + 12 ^{6}⁄_{8} = 14 ^{12}⁄_{8}
^{12}⁄_{8} is greater than one, so express it as a whole number and a fraction: 1 ^{4}⁄_{8}
Add this value to 14.
14 + 1 ^{4}⁄_{8}
15 ^{4}⁄_{8}
Reduce ^{4}⁄_{8} by dividing the numerator and denominator by 4.
15 ^{1}⁄_{2}

#### 789 - 32 =

789 - 32 = 757

#### 56 × 96 is closest to which value?

56 × 96 = 5376 This value is closest to 5400.

#### 456 / 23 =

456 ÷ 23 = 19.826 Rounding up, we get 19.83

^{6}⁄_{12} + ^{6}⁄_{24} + ^{1}⁄_{4} =

^{6}⁄_{12} + ^{6}⁄_{24} + ^{1}⁄_{4}
The common denominator is 24.
^{12}⁄_{24} + ^{6}⁄_{24} + ^{6}⁄_{24} = ^{24}⁄_{24} = 1

#### Which value is closest to 85% of 25?

First, calculate 85% of 25. 25 x 0.85 = 21.25 This value is closest to 22

#### 0.98 / 0.54 =

0.98 / 0.54 = 1.81

#### 1.45 × 0.99 =

1.45 × .99 = 1.4355 Rounding up, we get 1.44

#### 2.45 + 0.54 + 0.07 =

2.45 + 0.54 + 0.07 = 3.06

#### Which of the following represents the smallest value?

Numbers that are farther to the right of the decimal point are smaller. Since all of the numbers have three zeros in front of them (that is, they are in the ten-thousandths place), look at the first number that is not a zero. The smallest number will represent the smallest value. Since the first number in this choice is 7, the lowest number, this represents the lowest value.

#### 5.36 - 0.78 =

5.36 - 0.78 = 4.58

#### Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls would Janet produce each month?

First, calculate 18% of 23. 23 × 0.18 = 4.14 Then, add this value (the increase) to the original value of 23. 23 + 4.14 = 27.14 Rounding off, we get 27.

#### Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?

First, calculate 6% of 3.9. 3.9 × 0.06 = 0.234 Then, subtract this value (the decrease) from the original value of 3.9. 3.9 - 0.234 = 3.666 meters Rounding off, we get 3.7 meters

#### A rectangle's width is 23 cm and its length is 9cm. What is its area?

The formula for the area of a rectangle is length × width.
Therefore, A = l × w
A = 9cm × 23cm
A = 207cm^{2}

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