3%E2%81%844.jpeg "(81)3⁄4")
Fraction: 81 3/4
Introduction
In mathematics, a fraction is a way to express a part of a whole. It is a numerical value that represents a proportion of a whole. In this article, we will discuss the fraction 81 3/4, its equivalent forms, and how to perform basic operations on it.
What is 81 3/4?
81 3/4 is a mixed fraction, which is a combination of a whole number and a proper fraction. It can be written in different forms, including:
- Mixed fraction: 81 3/4
- Improper fraction: 651/4
- Decimal: 81.75
Equivalent Forms
The fraction 81 3/4 has several equivalent forms, including:
Improper Fraction
The improper fraction of 81 3/4 is 651/4. This is calculated by multiplying the whole number part (81) by the denominator (4) and then adding the numerator (3).
Decimal
The decimal equivalent of 81 3/4 is 81.75. This is calculated by dividing the numerator (3) by the denominator (4) and then adding the whole number part (81).
Basic Operations
Addition
To add 81 3/4 to another fraction, you need to follow these steps:
- Convert both fractions to improper fractions.
- Add the numerators and keep the same denominator.
- Simplify the fraction, if possible.
For example, let's add 81 3/4 to 1 1/2:
- Convert both fractions to improper fractions: 651/4 + 3/2
- Convert the mixed number to an improper fraction: 3/2 = 6/4
- Add the numerators and keep the same denominator: 651 + 6 = 657
- Simplify the fraction: 657/4
Subtraction
To subtract 81 3/4 from another fraction, you need to follow these steps:
- Convert both fractions to improper fractions.
- Subtract the numerators and keep the same denominator.
- Simplify the fraction, if possible.
For example, let's subtract 81 3/4 from 82 1/4:
- Convert both fractions to improper fractions: 651/4 - 657/4
- Subtract the numerators and keep the same denominator: 651 - 657 = -6
- Simplify the fraction: -6/4 = -1 1/2
Multiplication
To multiply 81 3/4 by another fraction, you need to follow these steps:
- Convert both fractions to improper fractions.
- Multiply the numerators and multiply the denominators.
- Simplify the fraction, if possible.
For example, let's multiply 81 3/4 by 1/2:
- Convert both fractions to improper fractions: 651/4 × 1/2
- Multiply the numerators and multiply the denominators: 651 × 1 = 651, 4 × 2 = 8
- Simplify the fraction: 651/8 = 81 5/8
Division
To divide 81 3/4 by another fraction, you need to follow these steps:
- Convert both fractions to improper fractions.
- Divide the numerators and divide the denominators.
- Simplify the fraction, if possible.
For example, let's divide 81 3/4 by 1/2:
- Convert both fractions to improper fractions: 651/4 ÷ 1/2
- Divide the numerators and divide the denominators: 651 ÷ 1 = 651, 4 ÷ 2 = 2
- Simplify the fraction: 651/2 = 325 1/2
Conclusion
In this article, we have discussed the fraction 81 3/4, its equivalent forms, and how to perform basic operations on it. We hope this article has been informative and helpful in your mathematical journey.
