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Simplify 7/3 + 3 ( 2/3 - 1/3 ) ^2

2 Answers

4 votes

Answer:

Explanation:

37/9

User Ingmar Hupp
by
5.5k points
6 votes

Answer:

13

—— = 4.33333

3

Explanation:

Step 1 :

1

Simplify —

3

Equation at the end of step 1 :

7 2 1

—+((3•(—-—))•2)

3 3 3

Step 2 :

2

Simplify —

3

Equation at the end of step 2 :

7 2 1

— + ((3 • (— - —)) • 2)

3 3 3

Step 3 :

Adding fractions which have a common denominator :

3.1 Adding fractions which have a common denominator

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

2 - (1) 1

——————— = —

3 3

Equation at the end of step 3 :

7 1

— + ((3 • —) • 2)

3 3

Step 4 :

7

Simplify —

3

Equation at the end of step 4 :

7

— + 2

3

Step 5 :

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

2 2 • 3

2 = — = —————

1 3

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 :

5.2 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 + 2 • 3 13

————————— = ——

3 3

User Konsol Labapen
by
5.3k points