Rewrite the equation below so that is does not have fractions \frac{2}{3}

illusiia

illusiia

Answered question

2021-09-23

Rewrite the equation below so that is does not have fractions 23x+3=27 do not use decimals in your answer

Answer & Explanation

Ezra Herbert

Ezra Herbert

Skilled2021-09-24Added 99 answers

Step 1
If we have an equation of the form
xa+yb=zc where a,b,c are non zero then
To make a given equation so that it does not have fractions we can multiply the given equation by lcm(a,b,c).
Step 2
23x+3=27....(1)
Multiply equation(1) by lcm(3,1,7)=21 then we get
14x+63=6

2022-01-25

2/3x-3=3/4
Andre BalkonE

Andre BalkonE

Skilled2023-06-12Added 110 answers

To rewrite the equation 23x+3=27 without fractions, we can eliminate the denominators by multiplying both sides of the equation by the least common multiple (LCM) of 3 and 7, which is 21.
Multiplying the equation by 21 yields: 21·(23x+3)=21·(27).
Simplifying both sides gives: 21·23x+21·3=21·27.
Further simplification yields: 423x+63=427.
We can simplify the left side of the equation by dividing 42 by 3, resulting in: 141x+63=427.
Finally, we can express the equation without fractions as: 14x+63=6.
Jazz Frenia

Jazz Frenia

Skilled2023-06-12Added 106 answers

Step 1:
When we double each term by 21, we obtain:
21×(23x)+21×3=21×(27)
Simplifying, we have:
23×21x+21×3=27×21
This simplifies to:
14x+63=6
Step 2:
Now we can solve for x by isolating the variable:
14x=663
14x=57
Dividing both sides by 14, we get:
x=5714
Therefore, the rewritten equation without fractions is 14x+63=6, and the solution is x=5714.
fudzisako

fudzisako

Skilled2023-06-12Added 105 answers

Result:
14x+63=6
Solution:
Multiplying both sides of the equation by 21 yields:
21×(23x+3)=21×27
Simplifying the equation gives:
211×23x+21×3=211×27
Using the properties of multiplication, we can rewrite the equation as:
423x+63=427
Now, let's simplify the equation further. Since 423 can be reduced to 141, we have:
141x+63=427
Finally, we can convert the fractions into whole numbers by multiplying both sides of the equation by their respective denominators. Multiplying both sides by 1 eliminates the fractions:
1×(141x+63)=1×427
This simplifies to:
14x+63=6
Therefore, the rewritten equation without fractions is 14x+63=6.

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