4/5x- 3 3/4x= 2 1/2 SOLVE
Answer:
\(x=\frac{50}{59}\)
Step-by-step explanation:
\(\frac{4}{5}x-3 \frac{3}{4} x=2 \frac{1}{2}\)
Convert the mixed fraction into improper fraction
\(3 \frac{3}{4}=\frac{3 \cdot 4+3}{4} =\frac{15}{4}\)
\(2\frac{1}{2}=\frac{2 \cdot 2+1}{4} =\frac{5}{4}\)
\(\frac{4}{5}x-\frac{15}{4}x=\frac{5}{2}\)
LCD is 20. multiply the first fraction by 4 and second fraction by 5
multiply the right hand side fraction by 10 to get LCD 20
\(\frac{16}{20}x-\frac{75}{20}x=\frac{50}{20}\)
Combine like terms
\(\frac{59}{20}x=\frac{50}{20}\)
Both sides have same denominator
so we equate the numerators
\(59x= 50\)
Divide both sides by 59
\(x=\frac{50}{59}\)