Solve (1+10div4.7)*0.5

$$(1+10 \div 4.7) \times 0.5$$

Evaluate

$$\frac{147}{94}\approx 1.563829787$$

Solution Steps

Expand \frac{10}{4.7} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{100}{47}\right)\times 0.5$$

Convert 1 to fraction \frac{47}{47}.

$$\left(\frac{47}{47}+\frac{100}{47}\right)\times 0.5$$

Since \frac{47}{47} and \frac{100}{47} have the same denominator, add them by adding their numerators.

$$\frac{47+100}{47}\times 0.5$$

Add 47 and 100 to get 147.

$$\frac{147}{47}\times 0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{147}{47}\times \frac{1}{2}$$

Multiply \frac{147}{47} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{147\times 1}{47\times 2}$$

Do the multiplications in the fraction \frac{147\times 1}{47\times 2}.

$$\frac{147}{94}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{2 \cdot 47} = 1\frac{53}{94} = 1.5638297872340425$$