Solve 1.75+11/7=

$$1.75+1 \frac{ 1 }{ 7 } =$$

Evaluate

$$\frac{81}{28}\approx 2.892857143$$

Solution Steps

Multiply 1 and 7 to get 7.

$$1.75+\frac{7+1}{7}$$

Add 7 and 1 to get 8.

$$1.75+\frac{8}{7}$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}+\frac{8}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{7}{4} and \frac{8}{7} to fractions with denominator 28.

$$\frac{49}{28}+\frac{32}{28}$$

Since \frac{49}{28} and \frac{32}{28} have the same denominator, add them by adding their numerators.

$$\frac{49+32}{28}$$

Add 49 and 32 to get 81.

$$\frac{81}{28}$$

Factor

$$\frac{3 ^ {4}}{7 \cdot 2 ^ {2}} = 2\frac{25}{28} = 2.892857142857143$$