Solve 3.25+35/9+33/4

$$3.25+3 \frac{ 5 }{ 9 } +3 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{95}{9}\approx 10.555555556$$

Solution Steps

Multiply 3 and 9 to get 27.

$$3.25+\frac{27+5}{9}+\frac{3\times 4+3}{4}$$

Add 27 and 5 to get 32.

$$3.25+\frac{32}{9}+\frac{3\times 4+3}{4}$$

Convert decimal number 3.25 to fraction \frac{325}{100}. Reduce the fraction \frac{325}{100} to lowest terms by extracting and canceling out 25.

$$\frac{13}{4}+\frac{32}{9}+\frac{3\times 4+3}{4}$$

Least common multiple of 4 and 9 is 36. Convert \frac{13}{4} and \frac{32}{9} to fractions with denominator 36.

$$\frac{117}{36}+\frac{128}{36}+\frac{3\times 4+3}{4}$$

Since \frac{117}{36} and \frac{128}{36} have the same denominator, add them by adding their numerators.

$$\frac{117+128}{36}+\frac{3\times 4+3}{4}$$

Add 117 and 128 to get 245.

$$\frac{245}{36}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{245}{36}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{245}{36}+\frac{15}{4}$$

Least common multiple of 36 and 4 is 36. Convert \frac{245}{36} and \frac{15}{4} to fractions with denominator 36.

$$\frac{245}{36}+\frac{135}{36}$$

Since \frac{245}{36} and \frac{135}{36} have the same denominator, add them by adding their numerators.

$$\frac{245+135}{36}$$

Add 245 and 135 to get 380.

$$\frac{380}{36}$$

Reduce the fraction \frac{380}{36} to lowest terms by extracting and canceling out 4.

$$\frac{95}{9}$$

Factor

$$\frac{5 \cdot 19}{3 ^ {2}} = 10\frac{5}{9} = 10.555555555555555$$