Question

4/5x- 3 3/4x= 2 1/2 SOLVE

Answer 1

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

$x=\frac{50}{59}$

Answer 2

4/5×-15/4×=5/2
16/20×-75/20×=50/20
16×-75×=50
-59×=50
×=50/59