Solve 1/2*3.5*4.2

$$\frac{ 1 }{ 2 } \times 3.5 \times 4.2$$

Evaluate

$$7.35$$

Solution Steps

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{7}{2}\times 4.2$$

Multiply \frac{1}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 2}\times 4.2$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 2}.

$$\frac{7}{4}\times 4.2$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{4}\times \frac{21}{5}$$

Multiply \frac{7}{4} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 21}{4\times 5}$$

Do the multiplications in the fraction \frac{7\times 21}{4\times 5}.

$$\frac{147}{20}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{5 \cdot 2 ^ {2}} = 7\frac{7}{20} = 7.35$$