What is -3 1/5 + (-6 1/2) ?
Someone please Help this question im not understanding at all !!
3 1/5 = 3 + 1 / 5 = 3 ∙ 10 / 10 + 2 ∙ 1 / 2 ∙ 5 = 30 / 10 + 2 / 10 = 32 / 10
6 1/2 = 6 + 1 / 2 = 6 ∙ 10 / 10 + 5 ∙ 1 / 5 ∙ 2 = 60 / 10 + 5 / 10 = 65 / 10
- 3 1/5 + ( - 6 1/2 ) = - 3 1/5 - 6 1/2 = - 32 / 10 - 65 / 10 = - ( 32 / 10 + 65 / 10 ) =
- 97 / 10 = - ( 90 + 7 ) / 10 = - ( 90 / 10 +7 / 10 ) = - ( 9 + 7 / 10 ) = - 9 7/10
-3 1/5 + (-6 1/2)
-3 2/10 - 6 5/10 = ?
To add mixed numbers, you need to turn them into improper fractions and then add the fractions and the whole numbers separately. Here's how you can solve the problem:
1. Convert the mixed numbers into improper fractions.
-3 1/5 becomes -16/5
-6 1/2 becomes -13/2
2. Add the fractions together.
-16/5 + (-13/2)
To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 10. Multiply the numerator and denominator of the first fraction by 2, and the numerator and denominator of the second fraction by 5:
= (-16/5) * (2/2) + (-13/2) * (5/5)
= (-32/10) + (-65/10)
3. Add the fractions with the same denominators.
= (-32/10) + (-65/10)
= -97/10
4. Simplify, if necessary.
-97/10 cannot be simplified further.
Therefore, -3 1/5 + (-6 1/2) equals -97/10.