2.625 As A Mixed Fraction

Decimal to Fraction Reckoner

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Figurer Use

This calculator converts a decimal number to a fraction or a decimal number to a mixed number. For repeating decimals enter how many decimal places in your decimal number repeat.

Entering Repeating Decimals

For a repeating decimal such every bit 0.66666... where the 6 repeats forever, enter 0.6 and since the six is the only one trailing decimal identify that repeats, enter 1 for decimal places to echo. The answer is 2/3
For a repeating decimal such as 0.363636... where the 36 repeats forever, enter 0.36 and since the 36 are the only 2 trailing decimal places that repeat, enter 2 for decimal places to repeat. The answer is four/11
For a repeating decimal such as 1.8333... where the iii repeats forever, enter 1.83 and since the iii is the only one trailing decimal place that repeats, enter 1 for decimal places to repeat. The answer is one 5/6
For the repeating decimal 0.857142857142857142..... where the 857142 repeats forever, enter 0.857142 and since the 857142 are the 6 trailing decimal places that repeat, enter 6 for decimal places to repeat. The answer is six/seven

How to Convert a Negative Decimal to a Fraction

Remove the negative sign from the decimal number
Perform the conversion on the positive value
Utilize the negative sign to the fraction answer

If a = b and so it is true that -a = -b.

How to Convert a Decimal to a Fraction

Step i: Make a fraction with the decimal number as the numerator (summit number) and a 1 as the denominator (bottom number).
Step 2: Remove the decimal places by multiplication. First, count how many places are to the correct of the decimal. Side by side, given that yous take ten decimal places, multiply numerator and denominator by 10^x.
Footstep three: Reduce the fraction. Discover the Greatest Common Cistron (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF.
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Example: Convert ii.625 to a fraction

1. Rewrite the decimal number number as a fraction (over 1)

\( two.625 = \dfrac{two.625}{one} \)

2. Multiply numerator and denominator past past tenⁱⁱⁱ = 1000 to eliminate 3 decimal places

\( \dfrac{2.625}{one}\times \dfrac{1000}{thou}= \dfrac{2625}{m} \)

3. Detect the Greatest Common Factor (GCF) of 2625 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 125

\( \dfrac{2625 \div 125}{1000 \div 125}= \dfrac{21}{8} \)

iv. Simplify the improper fraction

\( = 2 \dfrac{5}{8} \)

Therefore,

\( 2.625 = 2 \dfrac{5}{8} \)

Decimal to Fraction

For some other instance, convert 0.625 to a fraction.
Multiply 0.625/1 by 1000/grand to get 625/1000.
Reducing we become five/8.

Convert a Repeating Decimal to a Fraction

Create an equation such that x equals the decimal number.
Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation past ten^y.
Subtract the 2nd equation from the commencement equation.
Solve for x
Reduce the fraction.

Example: Catechumen repeating decimal 2.666 to a fraction

i. Create an equation such that ten equals the decimal number
Equation 1:

\( ten = two.\overline{666} \)

2. Count the number of decimal places, y. There are 3 digits in the repeating decimal group, then y = three. Ceate a second equation by multiplying both sides of the start equation past x³ = 1000
Equation ii:

\( g x = 2666.\overline{666} \)

3. Subtract equation (1) from equation (2)

\( \eqalign{chiliad 10 &= &\hfill2666.666...\cr x &= &\hfill2.666...\cr \hline 999x &= &2664\cr} \)

We become

\( 999 10 = 2664 \)

4. Solve for x

\( x = \dfrac{2664}{999} \)

5. Reduce the fraction. Find the Greatest Common Cistron (GCF) of 2664 and 999 and reduce the fraction, dividing both numerator and denominator by GCF = 333

\( \dfrac{2664 \div 333}{999 \div 333}= \dfrac{8}{3} \)

Simplify the improper fraction

\( = 2 \dfrac{two}{3} \)

Therefore,

\( 2.\overline{666} = 2 \dfrac{two}{iii} \)

Repeating Decimal to Fraction

For another example, convert repeating decimal 0.333 to a fraction.
Create the first equation with x equal to the repeating decimal number:
x = 0.333
There are 3 repeating decimals. Create the second equation past multiplying both sides of (ane) past 10ⁱⁱⁱ = grand:
1000X = 333.333 (two)
Subtract equation (1) from (ii) to get 999x = 333 and solve for x
x = 333/999
Reducing the fraction we get x = 1/3
Reply: x = 0.333 = ane/iii