Solve 1.421/4*1/2

$$1.42 \frac { 1 } { 4 } \times \frac { 1 } { 2 }$$

Evaluate

$$0.835$$

Solution Steps

Multiply 1.42 and 4 to get 5.68.

$$\frac{5.68+1}{4}\times \frac{1}{2}$$

Add 5.68 and 1 to get 6.68.

$$\frac{6.68}{4}\times \frac{1}{2}$$

Expand \frac{6.68}{4} by multiplying both numerator and the denominator by 100.

$$\frac{668}{400}\times \frac{1}{2}$$

Reduce the fraction \frac{668}{400} to lowest terms by extracting and canceling out 4.

$$\frac{167}{100}\times \frac{1}{2}$$

Multiply \frac{167}{100} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{167\times 1}{100\times 2}$$

Do the multiplications in the fraction \frac{167\times 1}{100\times 2}.

$$\frac{167}{200}$$

Factor

$$\frac{167}{2 ^ {3} \cdot 5 ^ {2}} = 0.835$$