The number 5.75 can be converted to a fraction in simplest form as follows:
5.75 = 23/4
Explanation:
- Multiply 5.75 by 100 to get 575
- Divide 575 by 4 to get 143.75
- Since 143.75 is not a whole number, we can multiply both the numerator and denominator by 2 to get 287.5/8
- Simplify the fraction by dividing both the numerator and denominator by 2 to get 143.75/4 = 23/4
Therefore, the fraction in simplest form is 23/4.
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Understanding Fractions
Fractions are a way to represent part of a whole. A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
For example, the fraction 3/4 can be thought of as 3 equal parts out of a total of 4 parts.
Benefits of Fractions
Fractions are used in various aspects of life, such as:
- Cooking: Recipes often use fractions to specify ingredient quantities.
- Finance: Fractions are used in interest rates, investment returns, and currency exchange rates.
- Measurement: Fractions are used to measure distances, heights, and weights.
Common Fraction Operations
- Addition: Add the numerators and denominators separately.
- Subtraction: Subtract the numerators and denominators separately.
- Multiplication: Multiply the numerators and denominators separately.
- Division: Divide the numerators and denominators separately.
Simplifying Fractions
To simplify a fraction, we divide both the numerator and denominator by the greatest common divisor (GCD). This reduces the fraction to its simplest form.
Example: 12/16 can be simplified to 3/4 by dividing both numbers by 4.
Conclusion
Converting 5.75 to a fraction in simplest form gives us 23/4. Understanding fractions and their operations can help us solve problems in various fields. By simplifying fractions, we can reduce them to their simplest form, making calculations easier and more efficient.
Invite readers to share their favorite fraction-related tips or tricks in the comments below.
FAQ Section:
What is a fraction?
+A fraction is a way to represent part of a whole. It consists of two parts: the numerator (the top number) and the denominator (the bottom number).
How do I simplify a fraction?
+To simplify a fraction, we divide both the numerator and denominator by the greatest common divisor (GCD). This reduces the fraction to its simplest form.
What are some common fraction operations?
+Common fraction operations include addition, subtraction, multiplication, and division. These operations involve adding, subtracting, multiplying, or dividing the numerators and denominators separately.