Answer:
3/5 : 4/5 =2 =2
—
1
Step-by-step explanation:
Divide: 3/5 : 4/5 = 3/5 · 5/4 = 3 · 5/5 · 4 = 15/20 = 5 · 3/5 · 4 = 3/4
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/5 is 5/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 5 gives 3/4.
In other words - three fifths divided by four fifths = three quarters.
