Convert 0.14¯¯¯¯¯ to a fraction.(1 point)
To convert a decimal to a fraction, we can set up an equation where the decimal is equal to a fraction with a numerator and denominator.
Let x = 0.14¯¯¯¯¯
To clarify, the overline indicates that the decimal repeats indefinitely.
To remove the decimal, we can multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 14.14¯¯¯¯¯
Now we subtract x from 100x:
100x - x = 14.14¯¯¯¯¯ - 0.14¯¯¯¯¯
99x = 14
To isolate x, we divide both sides of the equation by 99:
x = 14/99
So, the decimal 0.14¯¯¯¯¯ is equal to the fraction 14/99.
Convert 1650 to a decimal and a percentage.(1 poin
To convert 1650 to a decimal, we simply divide it by 100:
1650 / 100 = 16.50
So, 1650 is equal to 16.50 as a decimal.
To convert this decimal to a percentage, we multiply it by 100:
16.50 * 100 = 1650
So, 16.50 is equal to 1650% as a percentage.
Convert 16/50 to a decimal and a percentage.(1 poin
To convert 16/50 into a decimal, divide the numerator (16) by the denominator (50):
16 ÷ 50 = 0.32
So, 16/50 is equal to 0.32 as a decimal.
To convert this decimal to a percentage, multiply it by 100:
0.32 * 100 = 32%
So, 16/50 is equal to 32% as a percentage.
Convert 10% to a decimal and a fraction.(1 point)
To convert 10% to a decimal, divide it by 100:
10% ÷ 100 = 0.10
So, 10% is equal to 0.10 as a decimal.
To convert 0.10 to a fraction, we can write it as the fraction 10/100. Then, we simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10:
10/100 ÷ 10/10 = 1/10
So, 10% is also equal to 1/10 as a fraction.
Convert 0.02¯¯¯¯¯ to a fraction.(1 point)
To convert 0.02¯¯¯¯¯ to a fraction, let's call it x.
x = 0.02¯¯¯¯¯
To remove the repeating decimal, we can multiply both sides of the equation by a power of 10 that eliminates the repeating part. Since the decimal repeats indefinitely, we multiply by 100 to shift the decimal point two places to the right:
100x = 2.02¯¯¯¯¯
Now we subtract x from 100x:
100x - x = 2.02¯¯¯¯¯ - 0.02¯¯¯¯¯
99x = 2
To isolate x, we divide both sides of the equation by 99:
x = 2/99
So, the decimal 0.02¯¯¯¯¯ is equal to the fraction 2/99.
To convert 0.14¯¯¯¯¯ (repeating decimal) to a fraction, we need to follow these steps:
Step 1: Let x = 0.14¯¯¯¯¯
Step 2: Multiply both sides of the equation by 100 to move the decimal point two places to the right:
100x = 14.14¯¯¯¯¯
Step 3: Subtract the original equation (0.14¯¯¯¯¯) from the new equation (14.14¯¯¯¯¯) to eliminate the repeating part:
100x - x = 14.14¯¯¯¯¯ - 0.14¯¯¯¯¯
99x = 14
Step 4: Divide both sides of the equation by 99 to solve for x:
x = 14/99
Therefore, 0.14¯¯¯¯¯ is equal to the fraction 14/99.