To find equivalent fractions, we must always multiply the denominator and the numerator by the same number. 

\(\displaystyle 100\div10=10\), so we need to multiply the numerator by \(\displaystyle 10\).

\(\displaystyle 10\times10=100\)

\(\displaystyle \frac{10}{10}=\frac{100}{100}\)

To find equivalent fractions, we must always multiply the denominator and the numerator by the same number. 

\(\displaystyle 100\div10=10\), so we need to multiply the numerator by \(\displaystyle 10\).

\(\displaystyle 11\times10=110\)

\(\displaystyle \frac{11}{10}=\frac{110}{100}\)

To find equivalent fractions, we must always multiply the denominator and the numerator by the same number. 

\(\displaystyle 100\div10=10\), so we need to multiply the numerator by \(\displaystyle 10\).

\(\displaystyle 12\times10=120\)

\(\displaystyle \frac{12}{10}=\frac{120}{100}\)

In order to multiply fractions you simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Also simplify fractions in lowest terms when need be. 

\(\displaystyle \frac{4}{3}\times\frac{5}{11}=\frac{4\cdot 5}{3\cdot 11}=\frac{20}{33}\)

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{5}{9}\times \frac{6}{13}=\frac{30}{117}\)

\(\displaystyle \frac{30}{117}\) can be reduced to \(\displaystyle \frac{10}{39}\) by dividing both sides by \(\displaystyle 3\). 

\(\displaystyle \frac{30}{117}\frac{\div}{\div}\frac{3}{3}=\frac{10}{39}\)

\(\displaystyle \textup{Multiply: }\frac{6}{10}\times\frac{9}{12}\)

Before multiplying we want to reduce both fractions so we will have smaller numbers which are easier to multiply. 

For the 6/10 , both the top and bottom will reduce by a factor of 2. 

For the 9/12, both the top and bottom will reduce by a factor of 3. 

\(\displaystyle \textup{Multiply: }\frac{3}{5}\times\frac{3}{4}\)

To multiply, we multiply the two numerators (tops) and the two denominators (bottoms). 

\(\displaystyle \frac{3\times 3}{5\times 4}=\frac{9}{20}\)

\(\displaystyle 3\times\frac{1}{3}\) means the same thing as adding \(\displaystyle \frac{1}{3}\) three times.

On our number line, we can make \(\displaystyle 3\) jumps of \(\displaystyle \frac{1}{3}\)

\(\displaystyle 4\times\frac{1}{3}\) means the same thing as adding \(\displaystyle \frac{1}{3}\) four times.

On our number line, we can make \(\displaystyle 4\) jumps of \(\displaystyle \frac{1}{3}\)

\(\displaystyle 7\times\frac{1}{3}\) means the same thing as adding \(\displaystyle \frac{1}{3}\) seven times.

On our number line, we can make \(\displaystyle 7\) jumps of \(\displaystyle \frac{1}{3}\)

\(\displaystyle 3\times\frac{1}{4}\) means the same thing as adding \(\displaystyle \frac{1}{4}\) three times.

On our number line, we can make \(\displaystyle 3\) jumps of \(\displaystyle \frac{1}{4}\)