Solve (2.46*25/6)-(11/7*1.05)=

$$( 2.46 \times 2 \frac { 5 } { 6 } ) - ( 1 \frac { 1 } { 7 } \times 1.05 ) =$$

Evaluate

$$5.77$$

Solution Steps

Multiply 2 and 6 to get 12.

$$2.46\times \frac{12+5}{6}-\frac{1\times 7+1}{7}\times 1.05$$

Add 12 and 5 to get 17.

$$2.46\times \frac{17}{6}-\frac{1\times 7+1}{7}\times 1.05$$

Convert decimal number 2.46 to fraction \frac{246}{100}. Reduce the fraction \frac{246}{100} to lowest terms by extracting and canceling out 2.

$$\frac{123}{50}\times \frac{17}{6}-\frac{1\times 7+1}{7}\times 1.05$$

Multiply \frac{123}{50} times \frac{17}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{123\times 17}{50\times 6}-\frac{1\times 7+1}{7}\times 1.05$$

Do the multiplications in the fraction \frac{123\times 17}{50\times 6}.

$$\frac{2091}{300}-\frac{1\times 7+1}{7}\times 1.05$$

Reduce the fraction \frac{2091}{300} to lowest terms by extracting and canceling out 3.

$$\frac{697}{100}-\frac{1\times 7+1}{7}\times 1.05$$

Multiply 1 and 7 to get 7.

$$\frac{697}{100}-\frac{7+1}{7}\times 1.05$$

Add 7 and 1 to get 8.

$$\frac{697}{100}-\frac{8}{7}\times 1.05$$

Convert decimal number 1.05 to fraction \frac{105}{100}. Reduce the fraction \frac{105}{100} to lowest terms by extracting and canceling out 5.

$$\frac{697}{100}-\frac{8}{7}\times \frac{21}{20}$$

Multiply \frac{8}{7} times \frac{21}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{697}{100}-\frac{8\times 21}{7\times 20}$$

Do the multiplications in the fraction \frac{8\times 21}{7\times 20}.

$$\frac{697}{100}-\frac{168}{140}$$

Reduce the fraction \frac{168}{140} to lowest terms by extracting and canceling out 28.

$$\frac{697}{100}-\frac{6}{5}$$

Least common multiple of 100 and 5 is 100. Convert \frac{697}{100} and \frac{6}{5} to fractions with denominator 100.

$$\frac{697}{100}-\frac{120}{100}$$

Since \frac{697}{100} and \frac{120}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{697-120}{100}$$

Subtract 120 from 697 to get 577.

$$\frac{577}{100}$$

Factor

$$\frac{577}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{77}{100} = 5.77$$