How many 2/5s are in 1 and 1/2
The correct answer and explanation is:
To determine how many 2/5s are in 1 and 1/2, first convert the mixed number (1 and 1/2) into an improper fraction.
1 and 1/2 can be written as: 112=22+12=321 \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}
Now, divide this improper fraction by 2/5 to find how many 2/5s fit into 3/2. Division of fractions is done by multiplying the first fraction by the reciprocal of the second fraction. Therefore, the calculation becomes: 32÷25=32×52=3×52×2=154\frac{3}{2} \div \frac{2}{5} = \frac{3}{2} \times \frac{5}{2} = \frac{3 \times 5}{2 \times 2} = \frac{15}{4}
Next, simplify the fraction if possible. The fraction 15/4 is already in its simplest form, but to express it as a mixed number, divide 15 by 4: 15÷4=3 remainder 315 \div 4 = 3 \text{ remainder } 3
This means 15/4 equals 3 and 3/4.
Thus, there are 3 and 3/4 2/5s in 1 and 1/2.
To summarize, by converting the mixed number into an improper fraction, performing the division of fractions, and simplifying the result, you can determine how many 2/5s fit into 1 and 1/2. The answer is 3 and 3/4.