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trapecia [35]
2 years ago
12

Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29

Mathematics
1 answer:
andre [41]2 years ago
7 0

Notice* No options are provided, so I will solve the expression.

Answer:

\frac{125x+96}{4}

Step-by-step explanation:

Step 1: Simplify \frac{4}{5}

Step 2: Rewriting the whole as an Equivalent Fraction

 Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

5x = 5x/1 = 5x * 5/5

<em>Equivalent fraction</em> : The fraction thus generated looks different but has the same value as the whole

<em>Common denominator </em>: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding 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:

5x • 5 - (4)     25x - 4

--------------    =    ---------

5                        5  

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4     125x + 96

---------------------------  =     -----------

4                                             4    

Final result :

 125x + 96

 —————————

     4    

___________

Terms and topics:

  • Dividing exponents
  • Polynomial roots
  • Nonlinear equations
  • Equations which are reducible to quadratic
  • Reducing fractions to lowest terms
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