Why is my calculator showing wrong answers?

Check the batteries . Check that you are pressing the correct keys. Check it is in the correct input mode. Replace it.

Why is my scientific calculator not giving me decimals?

To obtain the answer in decimal form, you need to press instead of , or you can toggle between the fractional and decimal outputs using the key . Remember, your calculator is in Math mode if the word Math is shown at the top of the calculator display.

How do you get rid of a decimal in a fraction?

Therefore, in order to remove the decimal in the denominator, we have to multiply both the numerator and the denominator the same number which is a power of 10, such that the number of zeros equals the number of decimal places of the denominator.

How do you work out fractions without a calculator?

How to find a fraction of an amount Draw a bar to represent the total amount. Split the bar into the number of parts given by the denominator. Find the value of 1 part by dividing the amount by the number of parts. Multiply the answer by the numerator.

What is the formula for converting fractions to decimals?

The formula to convert a fraction to a decimal is given as " a ÷ b ", where a is the numerator and b is the denominator of the fraction. In other words, the fraction to decimal formula states that we just need to divide the numerator by denominator to get the decimal equivalent of the fraction.

What is 0.2 into a fraction?

Firstly, to write 0.2 as a fraction, we convert decimal to fraction. For that, we divide the number by 1 and multiply the top and bottom by 10. So, 0.2/1 × 10/10 = 2/10, which can be reduced further to 1/5 . This means 0.2 as a fraction is equal to 1/5.

How do you change a calculator to a fraction?

Look for a button that has a black box over a white box, x/y, or b/c. Push this button to open the fraction feature on your calculator . When the fraction feature is on, you should see a fraction template on your calculator screen.

Decimal to Fraction Calculator (2024)

Calculator 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 as 0.66666... where the 6 repeats forever, enter 0.6 and since the 6 is the only one trailing decimal place that repeats, enter 1 for decimal places to repeat. 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 two trailing decimal places that repeat, enter 2 for decimal places to repeat. The answer is 4/11
For a repeating decimal such as 1.8333... where the 3 repeats forever, enter 1.83 and since the 3 is the only one trailing decimal place that repeats, enter 1 for decimal places to repeat. The answer is 1 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 6/7

How to Convert a Negative Decimal to a Fraction

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

If a = b then it is true that -a = -b.

How to Convert a Decimal to a Fraction

Step 1: Make a fraction with the decimal number as the numerator (top 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 right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10^x.
Step 3: Reduce the fraction. Find the Greatest Common Factor (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 2.625 to a fraction

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

\( 2.625 = \dfrac{2.625}{1} \)

2. Multiply numerator and denominator by by 10³ = 1000 to eliminate 3 decimal places

\( \dfrac{2.625}{1}\times \dfrac{1000}{1000}= \dfrac{2625}{1000} \)

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

Decimal to Fraction

For another example, convert 0.625 to a fraction.
Multiply 0.625/1 by 1000/1000 to get 625/1000.
Reducing we get 5/8.

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 by 10^y.
Subtract the second equation from the first equation.
Solve for x
Reduce the fraction.

Example: Convert repeating decimal 2.666 to a fraction

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

\( x = 2.\overline{666} \)

2. Count the number of decimal places, y. There are 3 digits in the repeating decimal group, so y = 3. Ceate a second equation by multiplying both sides of the first equation by 10³ = 1000
Equation 2:

\( 1000 x = 2666.\overline{666} \)

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

\( \eqalign{1000 x &= &\hfill2666.666...\cr x &= &\hfill2.666...\cr \hline 999x &= &2664\cr} \)

We get

\( 999 x = 2664 \)

4. Solve for x

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

5. Reduce the fraction. Find the Greatest Common Factor (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

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

Therefore,

\( 2.\overline{666} = 2 \dfrac{2}{3} \)

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 by multiplying both sides of (1) by 10³ = 1000:
1000X = 333.333 (2)
Subtract equation (1) from (2) to get 999x = 333 and solve for x
x = 333/999
Reducing the fraction we get x = 1/3
Answer: x = 0.333 = 1/3

Related Calculators

To convert a fraction to a decimal see the Fraction to Decimal Calculator.

References

Wikipedia contributors. "Repeating Decimal," Wikipedia, The Free Encyclopedia. Last visited 18 July, 2016.