Question

multiply and divide fractions (pos and neg)
score: 0/6 penalty: none
question
perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
$\frac{1}{10} \cdot \frac{7}{3}$

Explanation:

Step1: Recall fraction multiplication rule

To multiply two fractions, we multiply the numerators together and the denominators together. For the fractions \(-\frac{1}{10}\) and \(\frac{7}{3}\), the formula for multiplication of fractions \(\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}\) (and we also consider the sign: a negative times a positive is negative).
So, we have \(-\frac{1}{10}\times\frac{7}{3}=\frac{-1\times7}{10\times3}\)

Step2: Calculate numerator and denominator

Calculate the numerator: \(- 1\times7=-7\)
Calculate the denominator: \(10\times3 = 30\)
So the result is \(\frac{-7}{30}\) (which can also be written as \(-\frac{7}{30}\) since the negative sign can be placed in front of the fraction).

Answer:

\(-\frac{7}{30}\)