Solve -1.75-7.25(1/4)+6.1

$$- 1.75 - 7.25 ( \frac { 1 } { 4 } ) + 6.1$$

Evaluate

$$2.5375$$

Solution Steps

Convert decimal number 7.25 to fraction \frac{725}{100}. Reduce the fraction \frac{725}{100} to lowest terms by extracting and canceling out 25.

$$-1.75-\frac{29}{4}\times \frac{1}{4}+6.1$$

Multiply \frac{29}{4} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$-1.75-\frac{29\times 1}{4\times 4}+6.1$$

Do the multiplications in the fraction \frac{29\times 1}{4\times 4}.

$$-1.75-\frac{29}{16}+6.1$$

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.

$$-\frac{7}{4}-\frac{29}{16}+6.1$$

Least common multiple of 4 and 16 is 16. Convert -\frac{7}{4} and \frac{29}{16} to fractions with denominator 16.

$$-\frac{28}{16}-\frac{29}{16}+6.1$$

Since -\frac{28}{16} and \frac{29}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-28-29}{16}+6.1$$

Subtract 29 from -28 to get -57.

$$-\frac{57}{16}+6.1$$

Convert decimal number 6.1 to fraction \frac{61}{10}.

$$-\frac{57}{16}+\frac{61}{10}$$

Least common multiple of 16 and 10 is 80. Convert -\frac{57}{16} and \frac{61}{10} to fractions with denominator 80.

$$-\frac{285}{80}+\frac{488}{80}$$

Since -\frac{285}{80} and \frac{488}{80} have the same denominator, add them by adding their numerators.

$$\frac{-285+488}{80}$$

Add -285 and 488 to get 203.

$$\frac{203}{80}$$

Factor

$$\frac{7 \cdot 29}{5 \cdot 2 ^ {4}} = 2\frac{43}{80} = 2.5375$$