Solve 9.28-33/12-22/13-18/13

$$9.28-3 \frac{ 3 }{ 12 } -2 \frac{ 2 }{ 13 } -1 \frac{ 8 }{ 13 }$$

Evaluate

$$\frac{2939}{1300}\approx 2.260769231$$

Solution Steps

Multiply 3 and 12 to get 36.

$$9.28-\frac{36+3}{12}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Add 36 and 3 to get 39.

$$9.28-\frac{39}{12}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Reduce the fraction \frac{39}{12} to lowest terms by extracting and canceling out 3.

$$9.28-\frac{13}{4}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Convert decimal number 9.28 to fraction \frac{928}{100}. Reduce the fraction \frac{928}{100} to lowest terms by extracting and canceling out 4.

$$\frac{232}{25}-\frac{13}{4}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Least common multiple of 25 and 4 is 100. Convert \frac{232}{25} and \frac{13}{4} to fractions with denominator 100.

$$\frac{928}{100}-\frac{325}{100}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Since \frac{928}{100} and \frac{325}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{928-325}{100}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Subtract 325 from 928 to get 603.

$$\frac{603}{100}-\frac{2\times 13+2}{13}-\frac{1\times 13+8}{13}$$

Multiply 2 and 13 to get 26.

$$\frac{603}{100}-\frac{26+2}{13}-\frac{1\times 13+8}{13}$$

Add 26 and 2 to get 28.

$$\frac{603}{100}-\frac{28}{13}-\frac{1\times 13+8}{13}$$

Least common multiple of 100 and 13 is 1300. Convert \frac{603}{100} and \frac{28}{13} to fractions with denominator 1300.

$$\frac{7839}{1300}-\frac{2800}{1300}-\frac{1\times 13+8}{13}$$

Since \frac{7839}{1300} and \frac{2800}{1300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7839-2800}{1300}-\frac{1\times 13+8}{13}$$

Subtract 2800 from 7839 to get 5039.

$$\frac{5039}{1300}-\frac{1\times 13+8}{13}$$

Multiply 1 and 13 to get 13.

$$\frac{5039}{1300}-\frac{13+8}{13}$$

Add 13 and 8 to get 21.

$$\frac{5039}{1300}-\frac{21}{13}$$

Least common multiple of 1300 and 13 is 1300. Convert \frac{5039}{1300} and \frac{21}{13} to fractions with denominator 1300.

$$\frac{5039}{1300}-\frac{2100}{1300}$$

Since \frac{5039}{1300} and \frac{2100}{1300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5039-2100}{1300}$$

Subtract 2100 from 5039 to get 2939.

$$\frac{2939}{1300}$$

Factor

$$\frac{2939}{13 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 2\frac{339}{1300} = 2.2607692307692306$$