-5 1/5 divided by 2/3 as a fraction
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
-5 1/5 divided by ⅔ as a fraction
Solution:
In order to divide the two values, we must first change the mixed number into an improper fraction.In changing a mixed number into improper fraction, we multiply the whole number by the denominator and add the numerator to its product. In our case since the whole number is negative, we will subtract the numerator to its product. For the denominator we will retain it as it is.
= -5 1/5
= -25 - 1/5
= -26/5
Now that we both have the values as a fraction, we must remember that when dividing a fraction, we take the reciprocal of the divisor, which is in our case is ⅔ then we multiply it to the dividend which is -26/5.
Reciprocal of ⅔ = 3/2
= (-26/5)(3/2)
= -78/10
Final answer:
=-78/10
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