Solve 2/7+31/4+7/11=8+924+77+176/308=frac{1285}{308}div25.4=

$$\frac{ 2 }{ 7 } +3 \frac{ 1 }{ 4 } + \frac{ 7 }{ 11 } = \frac{ 8+924+77+176 }{ 308 } = \frac{ 1285 }{ 308 } \div 25.4=$$

Verify

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{2}{7}+\frac{12+1}{4}+\frac{7}{11}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 12 and 1 to get 13.

$$\frac{2}{7}+\frac{13}{4}+\frac{7}{11}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{2}{7} and \frac{13}{4} to fractions with denominator 28.

$$\frac{8}{28}+\frac{91}{28}+\frac{7}{11}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Since \frac{8}{28} and \frac{91}{28} have the same denominator, add them by adding their numerators.

$$\frac{8+91}{28}+\frac{7}{11}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 8 and 91 to get 99.

$$\frac{99}{28}+\frac{7}{11}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Least common multiple of 28 and 11 is 308. Convert \frac{99}{28} and \frac{7}{11} to fractions with denominator 308.

$$\frac{1089}{308}+\frac{196}{308}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Since \frac{1089}{308} and \frac{196}{308} have the same denominator, add them by adding their numerators.

$$\frac{1089+196}{308}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 1089 and 196 to get 1285.

$$\frac{1285}{308}=\frac{8+924+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 8 and 924 to get 932.

$$\frac{1285}{308}=\frac{932+77+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 932 and 77 to get 1009.

$$\frac{1285}{308}=\frac{1009+176}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 1009 and 176 to get 1185.

$$\frac{1285}{308}=\frac{1185}{308}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Compare \frac{1285}{308} and \frac{1185}{308}.

$$\text{false}\text{ and }\frac{8+924+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 8 and 924 to get 932.

$$\text{false}\text{ and }\frac{932+77+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 932 and 77 to get 1009.

$$\text{false}\text{ and }\frac{1009+176}{308}=\frac{\frac{1285}{308}}{25.4}$$

Add 1009 and 176 to get 1185.

$$\text{false}\text{ and }\frac{1185}{308}=\frac{\frac{1285}{308}}{25.4}$$

Express \frac{\frac{1285}{308}}{25.4} as a single fraction.

$$\text{false}\text{ and }\frac{1185}{308}=\frac{1285}{308\times 25.4}$$

Multiply 308 and 25.4 to get 7823.2.

$$\text{false}\text{ and }\frac{1185}{308}=\frac{1285}{7823.2}$$

Expand \frac{1285}{7823.2} by multiplying both numerator and the denominator by 10.

$$\text{false}\text{ and }\frac{1185}{308}=\frac{12850}{78232}$$

Reduce the fraction \frac{12850}{78232} to lowest terms by extracting and canceling out 2.

$$\text{false}\text{ and }\frac{1185}{308}=\frac{6425}{39116}$$

Least common multiple of 308 and 39116 is 39116. Convert \frac{1185}{308} and \frac{6425}{39116} to fractions with denominator 39116.

$$\text{false}\text{ and }\frac{150495}{39116}=\frac{6425}{39116}$$

Compare \frac{150495}{39116} and \frac{6425}{39116}.

$$\text{false}\text{ and }\text{false}$$

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

$$\text{false}$$