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What is .277777 repeating the 7 as a fraction?

source : yahoo.com

What is .277777 repeating the 7 as a fraction?

The cycle repeats at every decimal (cycle = 1)

therefore we will use a factor of 10^1 = 10

step 1)

Keep only the repeating cycle after the decimal point:

0.2777777777 = 2 + 0.777777777/10

step 2)

find out what 0.777777… is:

let p/q be a rational number (a fraction where p and q are integers)

p/q = 0.77777777777

multiply both sides by 10^1 (this is where we use the cycle length)

10(p/q)= 7.77777777….

take away one (p/q) from the ten:

10(p/q) – (p/q) = 7.7777777777… – 0.7777777777…

9(p/q) = 7

p/q = 7/9

step 3)

rebuild the original number:

0.2777777… = 0.2 + 0.777777 / 10 = 0.2 + (7/9)/10 = 2/10 + 7/90 = 18/90 + 7/90 = 25/90 = 5/18

Recurring Decimal To Fraction Calculator

Recurring Decimal To Fraction Calculator – Use this calculator to convert a repeating decimal to a fraction. * Represent 0.(5) as a fraction Some numbers cannot be expressed exactly as decimals with a finite number of digits. For example, since 2/3 = 0.666666666…, to express the fraction 2/3 in the decimal system, we require an infinity of…Converting fractions to repeating decimals. Every fraction can be written as a decimal, either terminating or repeating. To write a fraction as a To gain insight into why this trick works, here is a step-by-step way to convert a repeating decimal to a fraction using algebra. Suppose you want to…Many fractions, when expressed as decimals, are repeating. However, any repeating decimal can be converted into a fraction. Repeating decimals are often represented with a bar, over the repeating portion.

How to Convert between Fractions and Repeating Decimals – dummies – 0.7 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 0.7 repeating, you mean that the 1 is repeating. Here is the question formulated in mathematical terms with the vinculum line above the decimal number that is repeating.What is 0.7 7 repeating as a fraction???? decimal to fraction. asked May 23, 2019 in Fraction Problems by kmoney. asked Nov 29, 2019 in Fraction Problems by anonymous | 539 views.A fraction in lowest terms with a prime denominator other than 2 or 5 (i.e. coprime to 10) always produces a repeating decimal. The length of the repetend (period of the repeating decimal segment) of 1/p is equal to the order of 10 modulo p.

How to Convert between Fractions and Repeating Decimals - dummies

How to Write a Repeating Decimal As a Fraction | Sciencing – Improve your math knowledge with free questions in "Write a repeating decimal as a fraction" and thousands of other math skills.Writing fractions as repeating decimals review. Review converting repeating decimals to fractions, and then try some practice problems. Google Classroom.You can put this solution on YOUR website! express 0.7(repeating decimals ) as a fraction — Let x = 0.777777…..

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