Understanding the Decimal 1.75
To convert the decimal 1.75 into a fraction, we need to follow a few straightforward steps.
Step 1: Identify the Whole Number and Decimal
- The number 1.75 consists of two parts:
- Whole Number: 1
- Decimal: 0.75
Step 2: Convert the Decimal to a Fraction
- The decimal 0.75 can be expressed as:
- 75/100 (since there are two digits after the decimal point)
Step 3: Simplify the Fraction
- To simplify 75/100, we find the greatest common divisor (GCD) of 75 and 100, which is 25.
- Now, divide both the numerator and the denominator by their GCD:
- 75 ÷ 25 = 3
- 100 ÷ 25 = 4
- So, 0.75 simplifies to 3/4.
Step 4: Combine with the Whole Number
- Now we combine the whole number with the simplified fraction:
- 1.75 = 1 + 0.75 = 1 + 3/4
Step 5: Express as an Improper Fraction
- To express 1 as a fraction with the same denominator (4):
- 1 = 4/4
- Now, we add it to the fraction:
- 4/4 + 3/4 = 7/4
Final Result
- Therefore, the decimal 1.75 in simplest fraction form is:
- 7/4
This process allows you to convert any decimal into a fraction systematically!