Using properties find : 3/5 + -6/13 + -8/15 + 7/26?
Introduction:
In this question, we are given four fractions: 3/5, -6/13, -8/15, and 7/26. We need to find the properties of these fractions.
Properties of Fractions:
1. Addition and Subtraction: Fractions can be added or subtracted by finding a common denominator and then performing the operation.
2. Multiplication: Fractions can be multiplied by multiplying the numerators together and the denominators together.
3. Division: Fractions can be divided by multiplying the first fraction by the reciprocal of the second fraction.
Finding the properties of given fractions:
1. 3/5:
- Addition: This fraction can be added to any other fraction by finding a common denominator.
- Subtraction: This fraction can be subtracted from any other fraction by finding a common denominator.
- Multiplication: This fraction can be multiplied by any other fraction by multiplying the numerators and denominators.
- Division: This fraction can be divided by any other fraction by multiplying the first fraction by the reciprocal of the second fraction.
2. -6/13:
- Addition: This fraction can be added to any other fraction by finding a common denominator.
- Subtraction: This fraction can be subtracted from any other fraction by finding a common denominator.
- Multiplication: This fraction can be multiplied by any other fraction by multiplying the numerators and denominators.
- Division: This fraction can be divided by any other fraction by multiplying the first fraction by the reciprocal of the second fraction.
3. -8/15:
- Addition: This fraction can be added to any other fraction by finding a common denominator.
- Subtraction: This fraction can be subtracted from any other fraction by finding a common denominator.
- Multiplication: This fraction can be multiplied by any other fraction by multiplying the numerators and denominators.
- Division: This fraction can be divided by any other fraction by multiplying the first fraction by the reciprocal of the second fraction.
4. 7/26:
- Addition: This fraction can be added to any other fraction by finding a common denominator.
- Subtraction: This fraction can be subtracted from any other fraction by finding a common denominator.
- Multiplication: This fraction can be multiplied by any other fraction by multiplying the numerators and denominators.
- Division: This fraction can be divided by any other fraction by multiplying the first fraction by the reciprocal of the second fraction.
Conclusion:
In conclusion, the given fractions 3/5, -6/13, -8/15, and 7/26 can be added, subtracted, multiplied, and divided using the properties of fractions. By finding a common denominator and performing the required operation, we can manipulate these fractions as needed.
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