What is a repeating decimal as a fraction?

A repeating decimal is a fraction where the digits after the decimal point go on forever in a pattern, and you convert it to a fraction by setting it equal to a variable, creating a second equation by multiplying by a power of 10 to align the repeating parts, then subtracting the equations to eliminate the repeating decimals, and finally solving for the variable to get the numerator and denominator. For example, 0.666... (or 0. 6 ̄ 0 . 6 ̄ ) becomes 6/9, which simplifies to 2/3, while 0.3636... ( 0. 36 ¯ 0 . 3 6 ) converts to 36/99 or 4/11.

What is 0.333333333 as a fraction?

So we can see that our original decimal of 0.333333... is equal to the fraction 1/3.

How do you write 0.66666 as a fraction?

The decimal 0.66666 (or 0.6 repeating) as a fraction is 2/3, found by setting it to x, multiplying by 10 to get 10x = 6.666..., subtracting x to get 9x = 6, and then simplifying 6/9 to 2/3. 

What is 0.98 as a fraction?

0.98 as a fraction is 98/100, which simplifies to 49/50 by dividing both the numerator and denominator by their greatest common divisor, 2.
 

Is 4 7 a repeating decimal?

Doing the division, you can see that the decimal value of is approximately 0.571428... repeating infinitely.

How to Change Repeating Decimal to Fraction(Shortcuts Included)

What is 0.123123123 as a fraction?

For example, 0.123123. . . is equal to 123/999, or 41/333. A terminating decimal is a decimal that comes to a finite end, rather than repeating. For example, 0.5 and 0.381 are terminating decimals, while 0.123123123. . . is not. Any terminating decimal is equal to a rational number.

What is 0.0625 into a fraction?

The decimal 0.0625 as a fraction is 1/16, found by placing 625 over 10,000 (since there are four decimal places) and simplifying the fraction by dividing the numerator and denominator by their greatest common factor, 625. 

How to convert 0.333333333 into a fraction?

The decimal 0.3333333, representing a repeating three (0.3̅), is the fraction 1/3 (one-third), because dividing 1 by 3 results in this endless repeating decimal, making them equivalent representations of the same value. 

Is 0.999... equal to 1?

Note that 1 has decimal representation 1.000… which is just 1 + 0/10 + 0/100 + 0/1000 + … so if one realizes that decimal expansions are just a code for an infinite sum, it may be less surprising that two infinite sums can have the same sum. Hence 0.999… equals 1.

What is 0.08333333333 as a fraction?

Fraction = 1 / 12 = 0.0833333333333 | Desmos.

How to write 0.96 as a fraction?

The decimal 0.96 as a fraction in its simplest form is 24/25, which is found by writing it as 96/100 and then dividing both the numerator (96) and denominator (100) by their greatest common divisor, which is 4. 

What is 4.8 as a fraction?

The decimal 4.8 as a fraction is 24/5 (an improper fraction) or 4 4/5 (a mixed number), found by writing it as 48/10 and simplifying by dividing both parts by 2, or by recognizing the whole number 4 and the tenths place 8 (8/10). 

Is 9.9999 repeating equal to 10?

Usually infinite decimal expansions are defined after the system of real numbers has already been defined (and after limits in the system of real numbers have been defined), and in this case the definition of the expression 9.999... is the limit of the sequence 9, 9.9, 9.99, 9.999, ..., which can be rigorously proven ...

What is 7 ⁄ 8 as a decimal?

The fraction 7/8 as a decimal is 0.875, found by dividing the numerator (7) by the denominator (8). This is a terminating decimal, meaning it doesn't repeat, and can be thought of as 7 out of 8 equal parts.
 

What is 0.6666666667 as a fraction?

The fraction represented by the decimal 0.666666666667 is 2/3.

What is .66 converted to a fraction?

Answer: 0.66 as a fraction in simplest form is 33/50.

Step 2: Find the HCF or the highest common factor of 66 and 100.

What is .875 on a tape measure?

On a tape measure, .875 inches is equivalent to 7/8 of an inch, which is found just shy of the 1-inch mark, sitting exactly halfway between 3/4 inch (.75) and 1 inch, often indicated by the 14th tick mark on a 16ths scale.