Expand $\frac{10.2}{5.001}$ by multiplying both numerator and the denominator by $1000$.
$$\frac{10200}{5001}\times 3.125+2.02-1.14$$
Reduce the fraction $\frac{10200}{5001}$ to lowest terms by extracting and canceling out $3$.
$$\frac{3400}{1667}\times 3.125+2.02-1.14$$
Convert decimal number $3.125$ to fraction $\frac{3125}{1000}$. Reduce the fraction $\frac{3125}{1000}$ to lowest terms by extracting and canceling out $125$.
Multiply $\frac{3400}{1667}$ times $\frac{25}{8}$ by multiplying numerator times numerator and denominator times denominator.
$$\frac{3400\times 25}{1667\times 8}+2.02-1.14$$
Do the multiplications in the fraction $\frac{3400\times 25}{1667\times 8}$.
$$\frac{85000}{13336}+2.02-1.14$$
Reduce the fraction $\frac{85000}{13336}$ to lowest terms by extracting and canceling out $8$.
$$\frac{10625}{1667}+2.02-1.14$$
Convert decimal number $2.02$ to fraction $\frac{202}{100}$. Reduce the fraction $\frac{202}{100}$ to lowest terms by extracting and canceling out $2$.
$$\frac{10625}{1667}+\frac{101}{50}-1.14$$
Least common multiple of $1667$ and $50$ is $83350$. Convert $\frac{10625}{1667}$ and $\frac{101}{50}$ to fractions with denominator $83350$.
Since $\frac{531250}{83350}$ and $\frac{168367}{83350}$ have the same denominator, add them by adding their numerators.
$$\frac{531250+168367}{83350}-1.14$$
Add $531250$ and $168367$ to get $699617$.
$$\frac{699617}{83350}-1.14$$
Convert decimal number $1.14$ to fraction $\frac{114}{100}$. Reduce the fraction $\frac{114}{100}$ to lowest terms by extracting and canceling out $2$.
$$\frac{699617}{83350}-\frac{57}{50}$$
Least common multiple of $83350$ and $50$ is $83350$. Convert $\frac{699617}{83350}$ and $\frac{57}{50}$ to fractions with denominator $83350$.
$$\frac{699617}{83350}-\frac{95019}{83350}$$
Since $\frac{699617}{83350}$ and $\frac{95019}{83350}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{699617-95019}{83350}$$
Subtract $95019$ from $699617$ to get $604598$.
$$\frac{604598}{83350}$$
Reduce the fraction $\frac{604598}{83350}$ to lowest terms by extracting and canceling out $2$.
