Solve (9.642\div2)\times5-2.500-6.489

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Question

$$(9.642 \div 2) \times 5-2.500-6.489$$

Evaluate

$15.116$

Solution Steps

Expand $\frac{9.642}{2}$ by multiplying both numerator and the denominator by $1000$.

$$\frac{9642}{2000}\times 5-2.5-6.489$$

Reduce the fraction $\frac{9642}{2000}$ to lowest terms by extracting and canceling out $2$.

$$\frac{4821}{1000}\times 5-2.5-6.489$$

Express $\frac{4821}{1000}\times 5$ as a single fraction.

$$\frac{4821\times 5}{1000}-2.5-6.489$$

Multiply $4821$ and $5$ to get $24105$.

$$\frac{24105}{1000}-2.5-6.489$$

Reduce the fraction $\frac{24105}{1000}$ to lowest terms by extracting and canceling out $5$.

$$\frac{4821}{200}-2.5-6.489$$

Convert decimal number $2.5$ to fraction $\frac{25}{10}$. Reduce the fraction $\frac{25}{10}$ to lowest terms by extracting and canceling out $5$.

$$\frac{4821}{200}-\frac{5}{2}-6.489$$

Least common multiple of $200$ and $2$ is $200$. Convert $\frac{4821}{200}$ and $\frac{5}{2}$ to fractions with denominator $200$.

$$\frac{4821}{200}-\frac{500}{200}-6.489$$

Since $\frac{4821}{200}$ and $\frac{500}{200}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{4821-500}{200}-6.489$$

Subtract $500$ from $4821$ to get $4321$.

$$\frac{4321}{200}-6.489$$

Convert decimal number $6.489$ to fraction $\frac{6489}{1000}$.

$$\frac{4321}{200}-\frac{6489}{1000}$$

Least common multiple of $200$ and $1000$ is $1000$. Convert $\frac{4321}{200}$ and $\frac{6489}{1000}$ to fractions with denominator $1000$.

$$\frac{21605}{1000}-\frac{6489}{1000}$$

Since $\frac{21605}{1000}$ and $\frac{6489}{1000}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{21605-6489}{1000}$$

Subtract $6489$ from $21605$ to get $15116$.

$$\frac{15116}{1000}$$

Reduce the fraction $\frac{15116}{1000}$ to lowest terms by extracting and canceling out $4$.

$$\frac{3779}{250}$$

Show Solution

Factor

$\frac{3779}{2 \cdot 5 ^ {3}} = 15\frac{29}{250} = 15.116$