(3/4) / (2/5)
(3/4) * (5/2) = 15/8 = 1 7/8
(3/4) * (5/2) = 15/8 = 1 7/8
Step 1: Convert the mixed number 3 4/5 to an improper fraction.
To convert the mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the result to the numerator. Write this sum over the original denominator.
3 * 5 = 15 + 4 = 19
The improper fraction equivalent of 3 4/5 is 19/5.
Step 2: Divide the improper fraction by the fraction.
To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction.
19/5 รท 2/5 = 19/5 * 5/2
Keep in mind that when dividing fractions, you can simplify before multiplying.
Step 3: Simplify the fractions, if possible.
In this case, both 5's in the denominator can be canceled out, leaving us with:
19/1 * 1/2 = 19/2
Therefore, the answer to 3 4/5 divided by 2/5 is 19/2 or 9 1/2.