0.93 Repeating As A Fraction

What is 0.nine3 as a fraction? How to convert 0.93 into a fraction? Through the decimal to fraction calculator, we can go the answer of 0.nine3 to a fraction is 14 fifteen . Hither are two ways to change 0.93 into a fraction.

Eg, convert 0.5thirteen to fraction. The trailing decimal place to echo is thirteen and its length is two. So, enter 0.513 into the beginning input box and enter 2 into the second input box.

Through the decimal to fraction calculator folio, we know that there are four steps to convert decimals into fractions:

So, following these iv steps, we volition complete information technology pace by step.

Step 1. Convert the decimal to an integer equation.

0.ninethree, the decimal point is followed by an non-recurring decimal place of 9, and then followed by a repeating abaft decimal place of 3. Permit x = 0.ixthree, then 10x = ix.3, 100x = 93.three.

100x – 10x = 93.3 – 9.3
90x = 84

Pace 2. Convert integer equations into a fraction.

The equation got from Step 1, divide both sides by 90 at the same fourth dimension to get the initial fraction form.

x = 84 90
0.93 = 84 90

Stride 3. Find the greatest common divisor.

Next, nosotros take to notice the greatest common divisor of 84 and 90.

The factors of 84 are 1, 2, iii, 4, 6, 7, 12, 14, 21, 28, 42, 84.

The factors of 90 are 1, 2, 3, 5, 6, 9, ten, xv, 18, thirty, 45, ninety.

So, the greatest common divisor of 84 and 90 is 6.

GCD(84, 90) = half dozen

Footstep 4. Simplify the fraction

Now, we have found that the greatest common divisor of 84 and xc is vi. Therefore, the numerator and denominator of the initial fraction are divided by six to get the concluding simplified fraction.

0.93 = 84 90
= 84 ÷ 6 90 ÷ 6
= fourteen 15

So, the answer of 0.93 as a fraction is fourteen 15 .

This is the routine conversion procedure from decimal to fraction. Is there a simpler one? Let'south take a await at the post-obit method.

Infinite Recurring Decimals to Fractions Formula 2
Evidently, 0.93 is an infinite recurring decimal, in that location are non-recurring decimals and recurring decimals after the decimal point. The length of the not-recurring decimal places is 1, and the length of the abaft decimal places to be repeated is ane. Through the infinite recurring decimal to fraction formula, we tin get that the initial denominator of the fraction is ninety and the initial numerator is 93 – 9 = 9-6. So the initial grade of the fraction is 84 90 .

The side by side steps are the same as Method 1. Find the greatest mutual divisor of 84 and 90 is 6, so simplify the initial fraction. The last reply is too 14 xv .

Comparing these two methods, both methods can summate the fraction of 0.9three, simply the second formula method is relatively elementary and can go the initial form of the fraction in i step.

Finally, tell you a trivial trick which can salve all the calculation steps. This is directly using the online free decimal to fraction calculator nosotros provide. Both finite and infinite decimals tin be easily converted to fractions. Of class, the last fraction is simplified. It can be an improper fraction or a mixed fraction. Everyone is welcome to use!