What is 8.35 as a fraction?
Converting decimals to fractions can be useful in many situations. Let's go through the steps to convert a decimal 8.35 to a fraction.
You can try other values to get more familiar with the conversion process.
Often, convert 8.33333333333 to a fraction or 8.375 to a fraction, depending on the task.
Understanding the decimal: “8.35”
A decimal number consists of an integer part and a fractional part, separated by a decimal point. The integer part is on the left, and the fractional part is on the right. For example, in 8.35, 8 is the integer part and 35 is the fractional part.
Conversion Explanation:
- For the numerator:
- We start with the number 8.35.
- By removing the decimal point, we derive the numerator as 835.
- For the denominator:
- Each position after the decimal represents a division by 10.
- Thus, having 2 positions after the decimal equates to 100 or 102.
- Factors:
- The factors for the numerator and the denominator are numbers that can evenly divide each of them.
- For instance, the factors of 835 include 1, 5, 167, and 835.
- The factors of 100 comprise 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- Greatest Common Divisor (GCD):
- It's the largest number that can evenly divide both the numerator and the denominator.
- In this instance, the GCD for 835 and 100 is 5.
The factors of 835 are:
The factors of 100 are:
Conversion formula (equation):
Solution:
What is a decimal?
A decimal is a numeral system that includes a point to separate the whole number part from the fractional part. This system makes it easy to work with numbers less than one.
What is a fraction?
A fraction is a mathematical way of showing a part of a whole. It has two parts: the numerator on top and the denominator below, which help express partial values and comparisons.
Step-by-step solution:
- Step 1: First, write the decimal as a fraction over 1. This sets up the next steps. 8.35 =
- Step 2: Decimals can have different lengths. We will align the number of digits after the decimal point. For 8.35, we have three digits. This means multiplying the fraction by a factor of 10 for each digit. Factor = 102 = 100
- Step 3: Using this factor, multiply both the numerator and the denominator. =
- Step 4: Now we need to simplify the fraction by finding common divisors. The greatest common divisor is 5. Divide both the numerator and the denominator by this common divisor. =