Solve ( 14 15 + 5 2 +0,3)* 8 7 *0,75+ 5 10 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(\frac{14}{15}+\frac{5}{2}+0,3)\cdot\frac{8}{7}\cdot0,75+\frac{5}{10}$$

Evaluate

$3,7$

Solution Steps

Least common multiple of $15$ and $2$ is $30$. Convert $\frac{14}{15}$ and $\frac{5}{2}$ to fractions with denominator $30$.

$$\left(\frac{28}{30}+\frac{75}{30}+0,3\right)\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Since $\frac{28}{30}$ and $\frac{75}{30}$ have the same denominator, add them by adding their numerators.

$$\left(\frac{28+75}{30}+0,3\right)\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Add $28$ and $75$ to get $103$.

$$\left(\frac{103}{30}+0,3\right)\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Convert decimal number $0,3$ to fraction $\frac{3}{10}$.

$$\left(\frac{103}{30}+\frac{3}{10}\right)\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Least common multiple of $30$ and $10$ is $30$. Convert $\frac{103}{30}$ and $\frac{3}{10}$ to fractions with denominator $30$.

$$\left(\frac{103}{30}+\frac{9}{30}\right)\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Since $\frac{103}{30}$ and $\frac{9}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{103+9}{30}\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Add $103$ and $9$ to get $112$.

$$\frac{112}{30}\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Reduce the fraction $\frac{112}{30}$ to lowest terms by extracting and canceling out $2$.

$$\frac{56}{15}\times \frac{8}{7}\times 0,75+\frac{5}{10}$$

Multiply $\frac{56}{15}$ times $\frac{8}{7}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{56\times 8}{15\times 7}\times 0,75+\frac{5}{10}$$

Do the multiplications in the fraction $\frac{56\times 8}{15\times 7}$.

$$\frac{448}{105}\times 0,75+\frac{5}{10}$$

Reduce the fraction $\frac{448}{105}$ to lowest terms by extracting and canceling out $7$.

$$\frac{64}{15}\times 0,75+\frac{5}{10}$$

Convert decimal number $0,75$ to fraction $\frac{75}{100}$. Reduce the fraction $\frac{75}{100}$ to lowest terms by extracting and canceling out $25$.

$$\frac{64}{15}\times \frac{3}{4}+\frac{5}{10}$$

Multiply $\frac{64}{15}$ times $\frac{3}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 3}{15\times 4}+\frac{5}{10}$$

Do the multiplications in the fraction $\frac{64\times 3}{15\times 4}$.

$$\frac{192}{60}+\frac{5}{10}$$

Reduce the fraction $\frac{192}{60}$ to lowest terms by extracting and canceling out $12$.

$$\frac{16}{5}+\frac{5}{10}$$

Reduce the fraction $\frac{5}{10}$ to lowest terms by extracting and canceling out $5$.

$$\frac{16}{5}+\frac{1}{2}$$

Least common multiple of $5$ and $2$ is $10$. Convert $\frac{16}{5}$ and $\frac{1}{2}$ to fractions with denominator $10$.

$$\frac{32}{10}+\frac{5}{10}$$

Since $\frac{32}{10}$ and $\frac{5}{10}$ have the same denominator, add them by adding their numerators.

$$\frac{32+5}{10}$$

Add $32$ and $5$ to get $37$.

$$\frac{37}{10}$$

Factor

$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$