Solve 3.3*1/4+0.25*67/10

$$3.3 \times \frac { 1 } { 4 } + 0.25 \times 6 \frac { 7 } { 10 }$$

Evaluate

$$2.5$$

Solution Steps

Convert decimal number 3.3 to fraction \frac{33}{10}.

$$\frac{33}{10}\times \frac{1}{4}+0.25\times \frac{6\times 10+7}{10}$$

Multiply \frac{33}{10} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 1}{10\times 4}+0.25\times \frac{6\times 10+7}{10}$$

Do the multiplications in the fraction \frac{33\times 1}{10\times 4}.

$$\frac{33}{40}+0.25\times \frac{6\times 10+7}{10}$$

Multiply 6 and 10 to get 60.

$$\frac{33}{40}+0.25\times \frac{60+7}{10}$$

Add 60 and 7 to get 67.

$$\frac{33}{40}+0.25\times \frac{67}{10}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{33}{40}+\frac{1}{4}\times \frac{67}{10}$$

Multiply \frac{1}{4} times \frac{67}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33}{40}+\frac{1\times 67}{4\times 10}$$

Do the multiplications in the fraction \frac{1\times 67}{4\times 10}.

$$\frac{33}{40}+\frac{67}{40}$$

Since \frac{33}{40} and \frac{67}{40} have the same denominator, add them by adding their numerators.

$$\frac{33+67}{40}$$

Add 33 and 67 to get 100.

$$\frac{100}{40}$$

Reduce the fraction \frac{100}{40} to lowest terms by extracting and canceling out 20.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$