3.24 Repeating As A Fraction
3.24 Repeating As A Fraction. The process for dividing fractions is similar to that for multiplying fractions. Input the value as per formula.

Input the value as per formula. The complete answer for your enjoyment is below: Create an equation such that x equals the decimal number.
Create A Second Equation Multiplying Both Sides Of The First Equation By 10 Y.
What is.215 repeating as a fraction? F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc. N = 3.24 (equation 1) step 2:
The Formula To Convert Any Repeating Decimal Number To A Fraction Is As Follows:
Every recurring decimal has a representation as a fraction. Algebra can be used to demonstrate that all repeating decimals are rational numbers. X − 321/1000 = 0.000 0708.
The Fraction Of The Repeating Decimal 0.7.
Why does this method work? Convert a repeating decimal to a fraction. The greatest common factor (gcf) of the numerator (3) and the denominator (24) is 3.
Create An Equation Such That X Equals The Decimal Number.
X = 3.bar24 next, we can multiply each side by 100 giving: X = 321/1000 + 0.000 0708. Notice that there are 2 digitss in the repeating block (24), so multiply both sides by 1 followed by 2 zeros, i.
The Complete Answer For Your Enjoyment Is Below:
Because 324 is greater than 100 we have simplified this fraction even further to a mixed fraction. See a solution process below: Divide both the numerator and the denominator by the gcf.
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