How to Make Fractions into Decimals Without a Calculator?

Divide the numerator by the denominator using long division

If the fraction has a denominator of 10, 100, 1000, and so on, move the decimal point left the same number of places

Convert the fraction to an equivalent fraction with a denominator of 10, 100, or 1000 when possible

Simplify the fraction first if it makes division easier

Use known fraction-to-decimal equivalents for common fractions

Estimate the decimal by comparing the fraction to benchmark fractions like 1/2, 1/4, 1/5, and 3/4

Repeat the division until you get the desired number of decimal places

Add zeros to the dividend if needed to continue long division

Recognize terminating decimals when the denominator factors only into 2s and 5s

Recognize repeating decimals when the division continues with a repeating remainder

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