Solve XOHцорж. a . 2.88 * 35/72 + (1.0625 - 5/12) * 16 | 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

$$2.2 \times 88 \times \frac { 35 } { 72 } + ( 1.0625 - \frac { 5 } { 12 } ) \times 16$$

Evaluate

$\frac{940}{9}\approx 104.444444444$

Solution Steps

Multiply $2.2$ and $88$ to get $193.6$.

$$193.6\times \frac{35}{72}+\left(1.0625-\frac{5}{12}\right)\times 16$$

Convert decimal number $193.6$ to fraction $\frac{1936}{10}$. Reduce the fraction $\frac{1936}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{968}{5}\times \frac{35}{72}+\left(1.0625-\frac{5}{12}\right)\times 16$$

Multiply $\frac{968}{5}$ times $\frac{35}{72}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{968\times 35}{5\times 72}+\left(1.0625-\frac{5}{12}\right)\times 16$$

Do the multiplications in the fraction $\frac{968\times 35}{5\times 72}$.

$$\frac{33880}{360}+\left(1.0625-\frac{5}{12}\right)\times 16$$

Reduce the fraction $\frac{33880}{360}$ to lowest terms by extracting and canceling out $40$.

$$\frac{847}{9}+\left(1.0625-\frac{5}{12}\right)\times 16$$

Convert decimal number $1.0625$ to fraction $\frac{10625}{10000}$. Reduce the fraction $\frac{10625}{10000}$ to lowest terms by extracting and canceling out $625$.

$$\frac{847}{9}+\left(\frac{17}{16}-\frac{5}{12}\right)\times 16$$

Least common multiple of $16$ and $12$ is $48$. Convert $\frac{17}{16}$ and $\frac{5}{12}$ to fractions with denominator $48$.

$$\frac{847}{9}+\left(\frac{51}{48}-\frac{20}{48}\right)\times 16$$

Since $\frac{51}{48}$ and $\frac{20}{48}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{847}{9}+\frac{51-20}{48}\times 16$$

Subtract $20$ from $51$ to get $31$.

$$\frac{847}{9}+\frac{31}{48}\times 16$$

Express $\frac{31}{48}\times 16$ as a single fraction.

$$\frac{847}{9}+\frac{31\times 16}{48}$$

Multiply $31$ and $16$ to get $496$.

$$\frac{847}{9}+\frac{496}{48}$$

Reduce the fraction $\frac{496}{48}$ to lowest terms by extracting and canceling out $16$.

$$\frac{847}{9}+\frac{31}{3}$$

Least common multiple of $9$ and $3$ is $9$. Convert $\frac{847}{9}$ and $\frac{31}{3}$ to fractions with denominator $9$.

$$\frac{847}{9}+\frac{93}{9}$$

Since $\frac{847}{9}$ and $\frac{93}{9}$ have the same denominator, add them by adding their numerators.

$$\frac{847+93}{9}$$

Add $847$ and $93$ to get $940$.

$$\frac{940}{9}$$

Factor

$\frac{5 \cdot 47 \cdot 2 ^ {2}}{3 ^ {2}} = 104\frac{4}{9} = 104.44444444444444$