3.3 Repeating As A Fraction

AoPS Number Theory Ch.11 Decimals and Fractions « Li Lijia 李立佳

3.3 Repeating As A Fraction. For example, 19/70 = 0.2 714285 and 1/6 = 0.1 6 the bar depicted above is presented above the repeating element of the numerical string. We can now solve for xas follows:

AoPS Number Theory Ch.11 Decimals and Fractions « Li Lijia 李立佳
AoPS Number Theory Ch.11 Decimals and Fractions « Li Lijia 李立佳

3/5 = 0.6 and 1/8 = 0.125, or a repeating decimal; Input the value as per formula. Web to transform a decimal into a fraction, follow the steps below: Notice that there is 1 digits in the repeating block (3), so multiply both sides by 1 followed by 1 zeros, i.e., by 10. The gcf (greatest common factor) of 33 and 10 is 1. X = 3.¯3 next, we can multiply each side by 10 giving: X=3.3ˉ next, we can multiply each side by 10giving: We can now solve for xas follows: Change the fraction into a decimal: Web when you say 3.3 repeating, you mean that the 1 is repeating.

We can now solve for xas follows: Medium open in app solution verified by toppr explanation: Divide both numbers by the gcf: Next, we can multiply each side by 10giving: Algebra linear equations conversion of decimals, fractions, and percent 1 answer smendyka jun 25, 2018 see a solution process below: 10 × n = 3.3 (equation 2) Therefore, the correct answer is 33/100. Web how to calculate 3.3 repeating as a fraction? N = 0.3 (equation 1) step 2: Input the value as per formula. 3 repeating into a fraction, begin writing this simple equation: