Solve (26)/(15)+2\times(0.63\div0.6-1.6)

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Question

$$\frac{ 26 }{ 15 } +2 \times (0.63 \div 0.6-1.6)$$

Evaluate

$\frac{19}{30}\approx 0.633333333$

Solution Steps

Expand $\frac{0.63}{0.6}$ by multiplying both numerator and the denominator by $100$.

$$\frac{26}{15}+2\left(\frac{63}{60}-1.6\right)$$

Reduce the fraction $\frac{63}{60}$ to lowest terms by extracting and canceling out $3$.

$$\frac{26}{15}+2\left(\frac{21}{20}-1.6\right)$$

Convert decimal number $1.6$ to fraction $\frac{16}{10}$. Reduce the fraction $\frac{16}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{26}{15}+2\left(\frac{21}{20}-\frac{8}{5}\right)$$

Least common multiple of $20$ and $5$ is $20$. Convert $\frac{21}{20}$ and $\frac{8}{5}$ to fractions with denominator $20$.

$$\frac{26}{15}+2\left(\frac{21}{20}-\frac{32}{20}\right)$$

Since $\frac{21}{20}$ and $\frac{32}{20}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{26}{15}+2\times \frac{21-32}{20}$$

Subtract $32$ from $21$ to get $-11$.

$$\frac{26}{15}+2\left(-\frac{11}{20}\right)$$

Express $2\left(-\frac{11}{20}\right)$ as a single fraction.

$$\frac{26}{15}+\frac{2\left(-11\right)}{20}$$

Multiply $2$ and $-11$ to get $-22$.

$$\frac{26}{15}+\frac{-22}{20}$$

Reduce the fraction $\frac{-22}{20}$ to lowest terms by extracting and canceling out $2$.

$$\frac{26}{15}-\frac{11}{10}$$

Least common multiple of $15$ and $10$ is $30$. Convert $\frac{26}{15}$ and $\frac{11}{10}$ to fractions with denominator $30$.

$$\frac{52}{30}-\frac{33}{30}$$

Since $\frac{52}{30}$ and $\frac{33}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-33}{30}$$

Subtract $33$ from $52$ to get $19$.

$$\frac{19}{30}$$

Show Solution

Factor

$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$