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Simplify: -2 1/3 - (-10 1/6)

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2 Answers

2 votes

Answer: 143

Explanation:

User Ammar Ismaeel
by
8.3k points
2 votes

Answer:

21/3-(-101/6)

Final result :

143

——— = 23.83333

6

Step by step solution :

Step 1 :

101

Simplify ———

6

Equation at the end of step 1 :

21 101

—— - (0 - ———)

3 6

Step 2 :

7

Simplify —

1

Equation at the end of step 2 :

-101

7 - ————

6

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 6 as the denominator :

7 7 • 6

7 = — = —————

1 6

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 6 - (-101) 143

—————————————— = ———

6

6 6

Final result :

143

——— = 23.83333

6

User Lavoy
by
7.7k points