Understanding 7.5 in Fraction Form

7.5 in fraction form is a common representation of the decimal number 7.50. It is important to understand how to convert between decimals and fractions in order to perform mathematical operations accurately.

Converting 7.5 to Fraction Form

To convert 7.5 to fraction form, follow these steps:

1. Multiply the decimal by a power of 10. This will remove the decimal point. In this case, we multiply by 10 to get 75.
2. Add a denominator to the result. The denominator should be the same as the power of 10 you used in step 1. In this case, the denominator is 10.

Therefore, 7.5 in fraction form is 75/10.

Simplifying the Fraction

The fraction 75/10 can be simplified by dividing both the numerator and denominator by a common factor. In this case, the common factor is 5, so we can simplify the fraction to 15/2.

Decimal, Fraction, and Percentage Equivalents

The following table shows the decimal, fraction, and percentage equivalents of 7.5:

Using 7.5 in Fraction Form

7.5 in fraction form can be used in a variety of mathematical operations, such as:

• Addition and Subtraction: To add or subtract fractions, the fractions must have the same denominator. For example, to add 1/2 and 3/4, you would first simplify both fractions to 2/4 and 3/4, and then add the two numerators to get 5/4.
• Multiplication and Division: To multiply or divide fractions, simply multiply or divide the numerators and denominators. For example, to multiply 1/2 by 3/4, you would multiply the numerators (1 and 3) to get 3, and then multiply the denominators (2 and 4) to get 8. The result is 3/8.

Stories and Lessons

Story 1: The Baker's Recipe

A baker has a recipe that calls for 7.5 cups of flour. However, the baker only has a measuring cup that measures in fractions. The baker needs to convert 7.5 cups to fraction form in order to measure the correct amount of flour. The baker multiplies 7.5 by 10 to get 75, and then adds a denominator of 10 to get 75/10. The baker then simplifies the fraction to 15/2, which is equal to 7.5 cups.

Lesson: It is important to know how to convert between decimals and fractions in order to perform mathematical operations accurately.

Story 2: The Carpenter's Measurement

A carpenter is building a table that is 7.5 feet long. The carpenter needs to cut a piece of wood that is the correct length. The carpenter has a measuring tape that measures in fractions of a foot. The carpenter needs to convert 7.5 feet to fraction form in order to cut the wood to the correct length. The carpenter multiplies 7.5 by 12 (the number of inches in a foot) to get 90, and then adds a denominator of 12 to get 90/12. The carpenter then simplifies the fraction to 15/2, which is equal to 7.5 feet.

Lesson: Fractions can be used to measure lengths and distances accurately.

Story 3: The Mathematician's Problem

A mathematician is working on a problem that involves the number 7.5. The mathematician needs to convert 7.5 to fraction form in order to solve the problem. The mathematician multiplies 7.5 by 10 to get 75, and then adds a denominator of 10 to get 75/10. The mathematician then simplifies the fraction to 15/2, which is equal to 7.5. The mathematician uses the fraction 15/2 to solve the problem.

Lesson: Fractions can be used to solve mathematical problems.

Tips and Tricks

• When converting decimals to fractions, it is helpful to remember that the denominator of the fraction is always a power of 10.
• To simplify fractions, look for common factors between the numerator and denominator.
• Fractions can be used to perform a variety of mathematical operations, including addition, subtraction, multiplication, and division.

Pros and Cons of Using Fractions

Pros:

• Fractions can be used to represent parts of a whole.
• Fractions can be used to measure lengths and distances accurately.
• Fractions can be used to solve mathematical problems.

Cons:

• Fractions can be complex and difficult to understand.
• It can be difficult to convert between decimals and fractions.

Call to Action

If you are having difficulty understanding 7.5 in fraction form, or if you need help performing mathematical operations with fractions, please seek help from a teacher, tutor, or online resource. There are many helpful resources available to help you learn about fractions and how to use them.