Convert Decimal 1.04: Finding All Equivalent Forms

Question

1.04= 1.04=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the whole number and fractional parts of the decimal.
  • Step 2: Convert the fractional decimal to a fraction.
  • Step 3: Simplify the fraction to its lowest terms.
  • Step 4: Express the number as a mixed number.

Now, let's work through each step:

Step 1: The decimal given is 1.04 1.04 . This can be broken down into a whole part and a fraction: 1+0.04 1 + 0.04 .

Step 2: Convert the fractional part. We see 0.04 0.04 as a fraction: 0.04=4100 0.04 = \frac{4}{100} .

Step 3: Simplify the fraction. To simplify 4100 \frac{4}{100} , we divide both the numerator and the denominator by their greatest common divisor, which is 4 4 : 4100=4÷4100÷4=125 \frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25} .

Step 4: Combine this with the whole number. The mixed number is: 1+125=1125 1 + \frac{1}{25} = 1\frac{1}{25} .

Therefore, the solution to the problem is 1125 1\frac{1}{25} .

Answer

1125 1\frac{1}{25}