Question

11 find the quotient. \\(\dfrac{\dfrac{-4}{5}}{\dfrac{1}{3}}\\) **your answer should be a mixed number or decimal\
12 find the quotient: \\(25.32 \div (-0.4)\\)\
13 \\((-5.2) + 3.7\\)

Explanation:

Question 11

Step1: Recall dividing fractions rule

Dividing by a fraction is multiplying by its reciprocal. So \(\frac{-\frac{4}{5}}{\frac{1}{3}}=-\frac{4}{5}\times3\)

Step2: Multiply the numerators and denominators

\(-\frac{4\times3}{5}=-\frac{12}{5}\)

Step3: Convert to decimal or mixed number

\(-\frac{12}{5}=-2.4\) or \(-2\frac{2}{5}\)

Step1: Recall dividing with decimals and signs

Dividing a positive number by a negative number gives a negative result. So \(25.32\div(-0.4)=-(25.32\div0.4)\)

Step2: Perform the division

\(25.32\div0.4 = 63.3\), so \(-(25.32\div0.4)=-63.3\)

Step1: Recall adding numbers with different signs

Subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. \(|-5.2| = 5.2\), \(|3.7| = 3.7\), \(5.2-3.7 = 1.5\)

Step2: Determine the sign

Since \(5.2>3.7\) and \(-5.2\) has the larger absolute value, the result is negative. So \((-5.2)+3.7=-1.5\)

Answer:

\(-2.4\) (or \(-2\frac{2}{5}\))

Question 12