Solve 41/3*2.45+41/3*3.55

$$4 \frac{ 1 }{ 3 } \times 2.45+4 \frac{ 1 }{ 3 } \times 3.55$$

Evaluate

$$26$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+1}{3}\times 2.45+\frac{4\times 3+1}{3}\times 3.55$$

Add 12 and 1 to get 13.

$$\frac{13}{3}\times 2.45+\frac{4\times 3+1}{3}\times 3.55$$

Convert decimal number 2.45 to fraction \frac{245}{100}. Reduce the fraction \frac{245}{100} to lowest terms by extracting and canceling out 5.

$$\frac{13}{3}\times \frac{49}{20}+\frac{4\times 3+1}{3}\times 3.55$$

Multiply \frac{13}{3} times \frac{49}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 49}{3\times 20}+\frac{4\times 3+1}{3}\times 3.55$$

Do the multiplications in the fraction \frac{13\times 49}{3\times 20}.

$$\frac{637}{60}+\frac{4\times 3+1}{3}\times 3.55$$

Multiply 4 and 3 to get 12.

$$\frac{637}{60}+\frac{12+1}{3}\times 3.55$$

Add 12 and 1 to get 13.

$$\frac{637}{60}+\frac{13}{3}\times 3.55$$

Convert decimal number 3.55 to fraction \frac{355}{100}. Reduce the fraction \frac{355}{100} to lowest terms by extracting and canceling out 5.

$$\frac{637}{60}+\frac{13}{3}\times \frac{71}{20}$$

Multiply \frac{13}{3} times \frac{71}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{637}{60}+\frac{13\times 71}{3\times 20}$$

Do the multiplications in the fraction \frac{13\times 71}{3\times 20}.

$$\frac{637}{60}+\frac{923}{60}$$

Since \frac{637}{60} and \frac{923}{60} have the same denominator, add them by adding their numerators.

$$\frac{637+923}{60}$$

Add 637 and 923 to get 1560.

$$\frac{1560}{60}$$

Divide 1560 by 60 to get 26.

$$26$$

Factor

$$2\times 13$$