\(-\dfrac{14}{99}\)1-a. What is the following fraction reduced?
\(-14 \longrightarrow |-14| \longrightarrow 14 \longrightarrow 2 * 7\)
\(\longrightarrow 2^{1} * 7^{1}\)
\(99 \longrightarrow 33 * 3 \longrightarrow (11 * 3) * 3\)
\(\longrightarrow 11^{1} * 3^{1} * 3^{1} \longrightarrow 11^{1} * 3^{2}\)
noneThe lowest prime power/powers common to both numbers is:
\(GCF = 1\)
The fraction cannot be reduced because the GCF = 1.
\(\dfrac{15}{33}\)
\(15 \longrightarrow 3 * 5 \longrightarrow 3^{1} * 5^{1} \)
\(33 \longrightarrow 3 * 11 \longrightarrow 3^{1} * 11^{1}\)
\(3^{1}\)The lowest prime power/powers common to each number are:
\(GCF = 3^{1} = 3\)
\(\dfrac{15}{33} \longrightarrow \dfrac{15 \div 3}{33 \div 3} = \dfrac{5}{11}\)
