Solve 2.3*3/16.1*1.299+2.3*4/16.1*4.598

$$\frac { 2.3 \times 3 } { 16.1 } \times 1.299 + \frac { 2.3 \times 4 } { 16.1 } \times 4.598$$

Evaluate

$$\frac{22289}{7000}\approx 3.184142857$$

Solution Steps

Multiply 2.3 and 3 to get 6.9.

$$\frac{6.9}{16.1}\times 1.299+\frac{2.3\times 4}{16.1}\times 4.598$$

Expand \frac{6.9}{16.1} by multiplying both numerator and the denominator by 10.

$$\frac{69}{161}\times 1.299+\frac{2.3\times 4}{16.1}\times 4.598$$

Reduce the fraction \frac{69}{161} to lowest terms by extracting and canceling out 23.

$$\frac{3}{7}\times 1.299+\frac{2.3\times 4}{16.1}\times 4.598$$

Convert decimal number 1.299 to fraction \frac{1299}{1000}.

$$\frac{3}{7}\times \frac{1299}{1000}+\frac{2.3\times 4}{16.1}\times 4.598$$

Multiply \frac{3}{7} times \frac{1299}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1299}{7\times 1000}+\frac{2.3\times 4}{16.1}\times 4.598$$

Do the multiplications in the fraction \frac{3\times 1299}{7\times 1000}.

$$\frac{3897}{7000}+\frac{2.3\times 4}{16.1}\times 4.598$$

Multiply 2.3 and 4 to get 9.2.

$$\frac{3897}{7000}+\frac{9.2}{16.1}\times 4.598$$

Expand \frac{9.2}{16.1} by multiplying both numerator and the denominator by 10.

$$\frac{3897}{7000}+\frac{92}{161}\times 4.598$$

Reduce the fraction \frac{92}{161} to lowest terms by extracting and canceling out 23.

$$\frac{3897}{7000}+\frac{4}{7}\times 4.598$$

Convert decimal number 4.598 to fraction \frac{4598}{1000}. Reduce the fraction \frac{4598}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{3897}{7000}+\frac{4}{7}\times \frac{2299}{500}$$

Multiply \frac{4}{7} times \frac{2299}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3897}{7000}+\frac{4\times 2299}{7\times 500}$$

Do the multiplications in the fraction \frac{4\times 2299}{7\times 500}.

$$\frac{3897}{7000}+\frac{9196}{3500}$$

Reduce the fraction \frac{9196}{3500} to lowest terms by extracting and canceling out 4.

$$\frac{3897}{7000}+\frac{2299}{875}$$

Least common multiple of 7000 and 875 is 7000. Convert \frac{3897}{7000} and \frac{2299}{875} to fractions with denominator 7000.

$$\frac{3897}{7000}+\frac{18392}{7000}$$

Since \frac{3897}{7000} and \frac{18392}{7000} have the same denominator, add them by adding their numerators.

$$\frac{3897+18392}{7000}$$

Add 3897 and 18392 to get 22289.

$$\frac{22289}{7000}$$

Factor

$$\frac{31 \cdot 719}{7 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 3\frac{1289}{7000} = 3.184142857142857$$