Solve -1/425/4-3/45/2+1

$$- \frac{ 1 }{ 4 } \frac{ 25 }{ 4 } - \frac{ 3 }{ 4 } \frac{ 5 }{ 2 } +1$$

Evaluate

$$-\frac{39}{16}=-2.4375$$

Solution Steps

Multiply -\frac{1}{4} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-25}{4\times 4}-\frac{3}{4}\times \frac{5}{2}+1$$

Do the multiplications in the fraction \frac{-25}{4\times 4}.

$$\frac{-25}{16}-\frac{3}{4}\times \frac{5}{2}+1$$

Fraction \frac{-25}{16} can be rewritten as -\frac{25}{16} by extracting the negative sign.

$$-\frac{25}{16}-\frac{3}{4}\times \frac{5}{2}+1$$

Multiply \frac{3}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{25}{16}-\frac{3\times 5}{4\times 2}+1$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 2}.

$$-\frac{25}{16}-\frac{15}{8}+1$$

Least common multiple of 16 and 8 is 16. Convert -\frac{25}{16} and \frac{15}{8} to fractions with denominator 16.

$$-\frac{25}{16}-\frac{30}{16}+1$$

Since -\frac{25}{16} and \frac{30}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-30}{16}+1$$

Subtract 30 from -25 to get -55.

$$-\frac{55}{16}+1$$

Convert 1 to fraction \frac{16}{16}.

$$-\frac{55}{16}+\frac{16}{16}$$

Since -\frac{55}{16} and \frac{16}{16} have the same denominator, add them by adding their numerators.

$$\frac{-55+16}{16}$$

Add -55 and 16 to get -39.

$$-\frac{39}{16}$$

Factor

$$-\frac{39}{16} = -2\frac{7}{16} = -2.4375$$