Solve 22/25+2left(0.7*25+6right)/60=0.88+47/60=0.798

$$\frac{ \frac{ 22 }{ 25 } +2 \left( 0.7 \cdot 25+6 \right) }{ 60 } = \frac{ 0.88+47 }{ 60 } =0.798$$

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Solution Steps

Multiply 0.7 and 25 to get 17.5.

$$\frac{\frac{22}{25}+2\left(17.5+6\right)}{60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Add 17.5 and 6 to get 23.5.

$$\frac{\frac{22}{25}+2\times 23.5}{60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Multiply 2 and 23.5 to get 47.

$$\frac{\frac{22}{25}+47}{60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Convert 47 to fraction \frac{1175}{25}.

$$\frac{\frac{22}{25}+\frac{1175}{25}}{60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Since \frac{22}{25} and \frac{1175}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{22+1175}{25}}{60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Add 22 and 1175 to get 1197.

$$\frac{\frac{1197}{25}}{60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Express \frac{\frac{1197}{25}}{60} as a single fraction.

$$\frac{1197}{25\times 60}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Multiply 25 and 60 to get 1500.

$$\frac{1197}{1500}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Reduce the fraction \frac{1197}{1500} to lowest terms by extracting and canceling out 3.

$$\frac{399}{500}=\frac{0.88+47}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Add 0.88 and 47 to get 47.88.

$$\frac{399}{500}=\frac{47.88}{60}\text{ and }\frac{0.88+47}{60}=0.798$$

Expand \frac{47.88}{60} by multiplying both numerator and the denominator by 100.

$$\frac{399}{500}=\frac{4788}{6000}\text{ and }\frac{0.88+47}{60}=0.798$$

Reduce the fraction \frac{4788}{6000} to lowest terms by extracting and canceling out 12.

$$\frac{399}{500}=\frac{399}{500}\text{ and }\frac{0.88+47}{60}=0.798$$

Compare \frac{399}{500} and \frac{399}{500}.

$$\text{true}\text{ and }\frac{0.88+47}{60}=0.798$$

Add 0.88 and 47 to get 47.88.

$$\text{true}\text{ and }\frac{47.88}{60}=0.798$$

Expand \frac{47.88}{60} by multiplying both numerator and the denominator by 100.

$$\text{true}\text{ and }\frac{4788}{6000}=0.798$$

Reduce the fraction \frac{4788}{6000} to lowest terms by extracting and canceling out 12.

$$\text{true}\text{ and }\frac{399}{500}=0.798$$

Convert decimal number 0.798 to fraction \frac{798}{1000}. Reduce the fraction \frac{798}{1000} to lowest terms by extracting and canceling out 2.

$$\text{true}\text{ and }\frac{399}{500}=\frac{399}{500}$$

Compare \frac{399}{500} and \frac{399}{500}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$