Answer:
3 3/4
Step-by-step explanation:
9
4
÷
3
5
= ?
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
9
4
÷
3
5
=
9
4
×
5
3
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
9 × 5
4 × 3
=
45
12
The Greatest Common Factor (GCF) of 45 and 12 is 3. The result can be simplified by dividing both the numerator and denominator by 3.
45
12
=
45 ÷ 3
12 ÷ 3
=
15
4
15 ÷ 4 = 3R3, therefore:
15
4
=
3 3
4
The result is:
9
4
÷
3
5
=
3 3
4
