A fraction is actually a division problem in disguise.The numerator is the number being divided, and the denominator is the number we're dividing by.To convert a fraction to a decimal, we simply divide the top number by the bottom number.Let's set this up as a long division problem.When we add a decimal point and zeros after the three, we can continue dividing to get our decimal answer.Let's solve this step by step.Here's how we calculate the final decimal answer.And there we have it! Three fourths equals zero point seven five.One half is one of the most common fractions we encounter.One quarter, or zero point two five, is another frequently used decimal.Three quarters equals zero point seven five, which is like adding zero point five and zero point two five.One fifth equals zero point two, showing how denominators of 5 create simple patterns.One tenth equals zero point one, demonstrating how denominators of ten relate directly to decimal places.Notice how equivalent fractions convert to the same decimal. For example, two fourths, four eighths, and five tenths all equal one half.Understanding decimal place values helps us convert between fractions and decimals more easily.When we divide one by three, we get a decimal that repeats forever.As we perform the division, we start getting threes that continue infinitely.We can write this repeating decimal in two ways. Using dots to show it continues forever, or with a bar over the repeating digit.Similarly, two thirds gives us point six repeating.Sometimes we need to round repeating decimals to a specific number of decimal places.For one third, we can round to one decimal place to get point three.To two decimal places, it's point three three.Three decimal places gives us point three three three.And to four decimal places, we get point three three three three.
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