45.6 = 456/10 = 228/5
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456
456 divided by 22 is 20.7272 (repeats). This is the same as 20 8/11 (simplest fraction).
9.12 = 9 and 12/100 = 912/100 = 456/50 = 228/25
To convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value as the numerator and a power of 10 as the denominator. In this case, 4.56 can be written as 456/100 because the decimal point is after the tenths place. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which in this case is 4. Therefore, 4.56 is equivalent to 114/25 in its simplest form.
You can write 4.56 as the fraction 4.56 over 1 (4.56/1), because dividing a decimal number by 1 will not affect it. However, you still need to do two more things: get rid of the decimal, and simplify the fraction.Every time you multiply 4.56 by 10, the decimal place moves one unit to the right. If you multiply it by 100, the decimal place moves two units to the right. And if you multiply both parts of the fraction 4.56/1 by 100, the decimal will disappear:(4.56 X 100)/(1 X 100)= 456/100Now we simplify the fraction 456/100. We know that both 456 and 100 are divisible by 4, so we divide both parts by 4:(456/4)/(100/4)= 114/25We now have the final fraction, 114/25.