Solve 2.69(1.57w-6.27)=0.87

$$2.69 ( 1.57 w - 6.27 ) = 0.87$$

Solve for w

$$w = \frac{177363}{42233} = 4\frac{8431}{42233} \approx 4.199630621$$

Steps for Solving Linear Equation

Divide both sides by 2.69.

$$1.57w-6.27=\frac{0.87}{2.69}$$

Expand \frac{0.87}{2.69} by multiplying both numerator and the denominator by 100.

$$1.57w-6.27=\frac{87}{269}$$

Add 6.27 to both sides.

$$1.57w=\frac{87}{269}+6.27$$

Convert decimal number 6.27 to fraction \frac{627}{100}.

$$1.57w=\frac{87}{269}+\frac{627}{100}$$

Least common multiple of 269 and 100 is 26900. Convert \frac{87}{269} and \frac{627}{100} to fractions with denominator 26900.

$$1.57w=\frac{8700}{26900}+\frac{168663}{26900}$$

Since \frac{8700}{26900} and \frac{168663}{26900} have the same denominator, add them by adding their numerators.

$$1.57w=\frac{8700+168663}{26900}$$

Add 8700 and 168663 to get 177363.

$$1.57w=\frac{177363}{26900}$$

Divide both sides by 1.57.

$$w=\frac{\frac{177363}{26900}}{1.57}$$

Express \frac{\frac{177363}{26900}}{1.57} as a single fraction.

$$w=\frac{177363}{26900\times 1.57}$$

Multiply 26900 and 1.57 to get 42233.

$$w=\frac{177363}{42233}$$