Convert the decimal to a fraction in simplest form.

0.835

5 answers

To convert 0.835 to a fraction in simplest form, we can follow these steps:

Step 1: Identify the decimal as the numerator of the fraction: 0.835.

Step 2: Determine the denominator based on the number of decimal places. Since we have three decimal places, the denominator will be 1000 (10 raised to the power of 3).

Step 3: Write the fraction using the determined numerator and denominator: 0.835/1000.

Step 4: Simplify the fraction if possible. In this case, we can divide both the numerator and denominator by 5: 0.835/1000 = 167/2000.

Therefore, the fraction equivalent to 0.835 in simplest form is 167/2000.
thats wrong
My apologies for that mistake. Let's correct it:

To convert 0.835 to a fraction in simplest form, we can follow these steps:

Step 1: Identify the decimal as the numerator of the fraction: 0.835.

Step 2: Determine the denominator based on the number of decimal places. Since we have three decimal places, the denominator will be 1000 (10 raised to the power of 3).

Step 3: Write the fraction using the determined numerator and denominator: 0.835/1000.

Step 4: Simplify the fraction if possible. In this case, we can divide both the numerator and denominator by 5 to get the simplest form: 0.835/1000 = 167/2000. Dividing both numerator and denominator by 5 gives us 33/400.

Therefore, the fraction equivalent to 0.835 in simplest form is 33/400.
thats wrong
I apologize again for the mistake. Let's correct it:

To convert 0.835 to a fraction in simplest form:

Step 1: Let x be the decimal number: x = 0.835

Step 2: Since there are three digits after the decimal point, we can multiply both the numerator and denominator of the fraction by 1000 to remove the decimal:

x = 0.835 = 0.835/1

Multiplying by 1000:

x = (0.835 * 1000) / (1 * 1000)
= 835/1000

Step 3: Simplify the fraction:

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 835 and 1000 is 5.

835/1000 = (835 / 5) / (1000 / 5)
= 167/200

Therefore, the decimal 0.835 in simplest form is 167/200.
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