Solve .035/.853+4.435

$$\frac{ .035 }{ .85 } 3+4.435$$

Evaluate

$$\frac{15499}{3400}\approx 4.558529412$$

Solution Steps

Expand \frac{0.035}{0.85} by multiplying both numerator and the denominator by 1000.

$$\frac{35}{850}\times 3+4.435$$

Reduce the fraction \frac{35}{850} to lowest terms by extracting and canceling out 5.

$$\frac{7}{170}\times 3+4.435$$

Express \frac{7}{170}\times 3 as a single fraction.

$$\frac{7\times 3}{170}+4.435$$

Multiply 7 and 3 to get 21.

$$\frac{21}{170}+4.435$$

Convert decimal number 4.435 to fraction \frac{4435}{1000}. Reduce the fraction \frac{4435}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{21}{170}+\frac{887}{200}$$

Least common multiple of 170 and 200 is 3400. Convert \frac{21}{170} and \frac{887}{200} to fractions with denominator 3400.

$$\frac{420}{3400}+\frac{15079}{3400}$$

Since \frac{420}{3400} and \frac{15079}{3400} have the same denominator, add them by adding their numerators.

$$\frac{420+15079}{3400}$$

Add 420 and 15079 to get 15499.

$$\frac{15499}{3400}$$

Factor

$$\frac{11 \cdot 1409}{17 \cdot 2 ^ {3} \cdot 5 ^ {2}} = 4\frac{1899}{3400} = 4.558529411764706$$