Solve (-3/5)*11/4+(-4/21).(-7/8)

$$(- \frac{ 3 }{ 5 } ) \times 1 \frac{ 1 }{ 4 } +(- \frac{ 4 }{ 21 } ).(- \frac{ 7 }{ 8) }$$

Evaluate

$$-\frac{79}{84}\approx -0.94047619$$

Solution Steps

Multiply 1 and 4 to get 4.

$$-\frac{3}{5}\times \frac{4+1}{4}-\frac{4}{21}$$

Add 4 and 1 to get 5.

$$-\frac{3}{5}\times \frac{5}{4}-\frac{4}{21}$$

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

$$\frac{-3\times 5}{5\times 4}-\frac{4}{21}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-3}{4}-\frac{4}{21}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-\frac{3}{4}-\frac{4}{21}$$

Least common multiple of 4 and 21 is 84. Convert -\frac{3}{4} and \frac{4}{21} to fractions with denominator 84.

$$-\frac{63}{84}-\frac{16}{84}$$

Since -\frac{63}{84} and \frac{16}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-63-16}{84}$$

Subtract 16 from -63 to get -79.

$$-\frac{79}{84}$$

Factor

$$-\frac{79}{84} = -0.9404761904761905$$