Convert 0.14¯¯¯¯¯ to a fraction.

Answer 1

To convert a repeating decimal to a fraction, we can use the formula for a geometric series.

Let x = 0.14¯¯¯¯¯

Step 1: Multiply both sides of the equation by 100 to move the decimal point.

100x = 14.14¯¯¯¯¯

Step 2: Subtract the original equation from the equation obtained in Step 1.

100x - x = 14.14¯¯¯¯¯ - 0.14¯¯¯¯¯

Simplifying the right side, we get:

100x - x = 14

99x = 14

Step 3: Divide both sides of the equation by 99 to isolate x.

x = 14/99

Therefore, 0.14¯¯¯¯¯ is equivalent to 14/99.

Answer 2

Convert 1650 to a decimal and a percentage.

Answer 3

To convert 1650 to a decimal, we simply divide it by 100:

1650 ÷ 100 = 16.5

So, 1650 as a decimal is 16.5.

To convert 1650 to a percentage, we multiply it by 100:

1650 × 100 = 165,000

So, 1650 as a percentage is 165,000%.

Answer 4

Convert 16/50 to a decimal and a percentage.

Answer 5

To convert 16/50 to a decimal, we divide the numerator (16) by the denominator (50):

16 ÷ 50 = 0.32

So, 16/50 as a decimal is 0.32.

To convert 16/50 to a percentage, we can multiply the decimal form (0.32) by 100:

0.32 × 100 = 32

So, 16/50 as a percentage is 32%.

Answer 6

Convert 0.02¯¯¯¯¯ to a fraction.

Answer 7

To convert the repeating decimal 0.02¯¯¯¯¯ to a fraction, we can use the following method:

Let's call the repeating decimal x:

x = 0.02¯¯¯¯¯

Multiplying both sides of the equation by 100 to move the decimal point:

100x = 2.02¯¯¯¯¯

Subtracting the original equation from this equation:

100x - x = 2.02¯¯¯¯¯ - 0.02¯¯¯¯¯

Simplifying the right side:

99x = 2

Dividing both sides by 99 to isolate x:

x = 2/99

Therefore, 0.02¯¯¯¯¯ is equivalent to 2/99 as a fraction.