Fraction \(\frac{a}{b}\) is equivalent to \(\frac{7}{20}\), and \(a + b = 135\). Find the fraction \(\frac{a}{b}\).

** a/b = 35/100** ;

Answered by sqdancefan | 2024-06-24

The question asks to find the fraction a/b that is equivalent to 7/20 and satisfies the condition a + b = 135. To solve this, we can set up two equations based on the information provided:
a/b = 7/20
a + b = 135
From the first equation, we can express a in terms of b as a = (7/20)b. Substituting this expression into the second equation gives us (7/20)b + b = 135. Simplifying this, we find (27/20)b = 135, leading to b = 100. Substituting b = 100 back into the equation a = (7/20)b gives us a = 35. Therefore, the fraction a/b is 35/100, which simplifies to 7/20, confirming its equivalence.

Answered by EveArden | 2024-06-24

The fraction b a ​ that is equivalent to 20 7 ​ and satisfies a + b = 135 is 100 35 ​ , which simplifies to 20 7 ​ .
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Answered by sqdancefan | 2024-12-23