Convert3 1/20
into decimal fraction.
The Correct Answer and Explanation is:
Correct Answer: 3.05
Explanation:
To convert the mixed number 3 1/20 into a decimal fraction, the process involves handling the whole number and the fractional part. A mixed number consists of an integer and a fraction. In this case, the integer is 3 and the fraction is 1/20.
The conversion can be completed in two main steps. First, the fractional part, 1/20, is converted into a decimal. Second, this resulting decimal is added to the whole number, 3.
Step 1: Convert the fraction 1/20 to a decimal.
There are two common methods to convert a fraction to a decimal.
- Method 1: Finding an equivalent fraction.
The goal is to change the fraction into an equivalent one with a denominator that is a power of 10 (like 10, 100, 1000, etc.). For the fraction 1/20, the denominator 20 can be easily converted to 100 by multiplying it by 5. To keep the fraction’s value unchanged, the numerator must also be multiplied by the same value.(1 × 5) / (20 × 5) = 5/100The fraction 5/100 means five-hundredths. As a decimal, this is written as 0.05. - Method 2: Division.
A fraction represents a division problem. The fraction 1/20 is equivalent to 1 divided by 20. Performing this division:1 ÷ 20 = 0.05
Both methods show that the fraction 1/20 is equal to the decimal 0.05.
Step 2: Combine the whole number and the decimal.
Now, the decimal value of the fraction is added to the whole number part of the mixed number.
Whole Number + Decimal Fraction
3 + 0.05 = 3.05
Therefore, the mixed number 3 1/20 is equivalent to the decimal fraction 3.05.
