Solve 100=6(5+5.8/4)+5.R

$$100 = 6 ( 5 + \frac { 5.8 } { 4 } ) + 5 . R$$

Verify

Solution Steps

Expand \frac{5.8}{4} by multiplying both numerator and the denominator by 10.

$$100=6\left(5+\frac{58}{40}\right)+5$$

Reduce the fraction \frac{58}{40} to lowest terms by extracting and canceling out 2.

$$100=6\left(5+\frac{29}{20}\right)+5$$

Convert 5 to fraction \frac{100}{20}.

$$100=6\left(\frac{100}{20}+\frac{29}{20}\right)+5$$

Since \frac{100}{20} and \frac{29}{20} have the same denominator, add them by adding their numerators.

$$100=6\times \frac{100+29}{20}+5$$

Add 100 and 29 to get 129.

$$100=6\times \frac{129}{20}+5$$

Express 6\times \frac{129}{20} as a single fraction.

$$100=\frac{6\times 129}{20}+5$$

Multiply 6 and 129 to get 774.

$$100=\frac{774}{20}+5$$

Reduce the fraction \frac{774}{20} to lowest terms by extracting and canceling out 2.

$$100=\frac{387}{10}+5$$

Convert 5 to fraction \frac{50}{10}.

$$100=\frac{387}{10}+\frac{50}{10}$$

Since \frac{387}{10} and \frac{50}{10} have the same denominator, add them by adding their numerators.

$$100=\frac{387+50}{10}$$

Add 387 and 50 to get 437.

$$100=\frac{437}{10}$$

Convert 100 to fraction \frac{1000}{10}.

$$\frac{1000}{10}=\frac{437}{10}$$

Compare \frac{1000}{10} and \frac{437}{10}.

$$\text{false}$$