Question

Reduce each of the following fractions to its simplest form.

a. 12/18
b. 48/54
c. 27/90
d. 63/77
e 24/32
f. 73/365

Answer 1

A. 2/3
B. 8/9
C. 3/10
D. 9/11
E. 3/4
F. 1/5

Answer 2

For this case we must simplify the following expressions:

Option A:

`\frac {12} {18} = \frac {6} {9} = \frac {2} {3}`

We divide numerator and denominator by 2 and then by 3.

Option B:

`\frac {48} {54} = \frac {24} {27} = \frac {8} {9}`

We divide numerator and denominator by 2 and then by 3.

Option C:

`\frac {27} {90} = \frac {9} {30} = \frac {3} {10}`

We divide numerator and denominator by 3 and then by 3 again.

Option D:

`\frac {63} {77} = \frac {9} {11}`

We divide numerator and denominator by 7.

Option E:

`\frac {24} {32} = \frac {12} {16} = \frac {6} {8} = \frac {3} {4}`

We divide numerator and denominator three times by 2.

Option F:

`\frac {73} {365} = \frac {1} {5}`

We divide numerator and denominator by 73.

Answer:

`\frac {2} {3}\\\frac {8} {9}\\\frac {3} {10}\\\frac {9} {11}\\\frac {3} {4}\\\frac {1} {5}`