Question

0.6x +4/5=0.28x + 1.16

Find the value of x but in fraction
​

Answer 1

Answer:

0.6x + 4/5 = 0.28x + 1.16

0.6x + 0.28x = 4/5 + 1.16

0.88x = 4+5.80/5

88/100x = 9.8/5

4/5x = 98/50

4/5x = 49/25

x = 49/25 * 5/4

x = 49/20 Answer

Answer 2

$\fbox\red{Solution:–}$

$\tt \orange{ \implies \dfrac{0.6x + 4}{5} \: = \: 0.28x + 1.16 } \\ \\ \tt \implies \frac{0.6x - 0.28x}{5} \: = \: 1.16 - 4 \\ \\ \implies \: \tt\frac{0.22x}{5} \: = \: - 2.84 \\ \\ \tt\implies \: \frac{0.22x}{5} \: = \: \frac{284}{100} \\ \\ \tt\implies0.22x \: = \: \frac{284}{100} \times 5 \\ \\ \tt\implies0.22x \: = \: \frac{284}{ \cancel{100} {}^{50} } \times \cancel{5} {}^{1} \\ \\ \tt\implies \: 0.22x \: = \: \frac{284}{50} \\ \\ \tt\implies \: \: x \: = \: 5.68 \: - \: 0.22 \\ \\ \tt\implies \: x \: = \: 5.46 \\ \\ \tt \orange{\implies \:x \: \: = \: \frac{546}{100} }$