Solve 1-1/7*0,77=

$$1 - \frac { 1 } { 7 } \cdot 0,77 =$$

Evaluate

$$0,89$$

Solution Steps

Convert decimal number 0,77 to fraction \frac{77}{100}.

$$1-\frac{1}{7}\times \frac{77}{100}$$

Multiply \frac{1}{7} times \frac{77}{100} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{1\times 77}{7\times 100}$$

Do the multiplications in the fraction \frac{1\times 77}{7\times 100}.

$$1-\frac{77}{700}$$

Reduce the fraction \frac{77}{700} to lowest terms by extracting and canceling out 7.

$$1-\frac{11}{100}$$

Convert 1 to fraction \frac{100}{100}.

$$\frac{100}{100}-\frac{11}{100}$$

Since \frac{100}{100} and \frac{11}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-11}{100}$$

Subtract 11 from 100 to get 89.

$$\frac{89}{100}$$

Factor

$$\frac{89}{2 ^ {2} \cdot 5 ^ {2}} = 0.89$$