Write 35.8125 as a mixed number

Answer 1

To convert the decimal 35.8125 into a mixed number, you can follow these steps:

1. The whole number part is 35.
2. The decimal part is 0.8125.

Next, convert 0.8125 into a fraction:

0.8125 can be written as \(\frac{8125}{10000}\), since it has four decimal places.

Now, simplify \(\frac{8125}{10000}\):

• Find the greatest common divisor (GCD) of 8125 and 10000, which is 125.
• Divide both the numerator and the denominator by 125:

\[ \frac{8125 \div 125}{10000 \div 125} = \frac{65}{80} \]

Next, simplify \(\frac{65}{80}\):

• The GCD of 65 and 80 is 5.
• Again, divide the numerator and the denominator by 5:

\[ \frac{65 \div 5}{80 \div 5} = \frac{13}{16} \]

Now, combine the whole number and the fraction to write it as a mixed number:

So, \(35.8125\) as a mixed number is:

\[ 35 \frac{13}{16} \]