8. Divide.
2 1/3÷2/5
4/5
9/16
5 5/6
14/15
2 1/3 ÷ 2/5 = (7/3) ÷ (2/5)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
7/3 * 5/2 = (7*5)/(3*2) = 35/6
To convert the improper fraction 35/6 into a mixed number, we divide the numerator (35) by the denominator (6).
35 ÷ 6 = 5 remainder 5
Hence, the answer is 5 5/6.
To divide 2 1/3 by 2/5, we can follow these steps:
Step 1: Convert the mixed number 2 1/3 into an improper fraction.
2 1/3 = (3 x 2) + 1/3 = 7/3
Step 2: Invert the second fraction (divisor).
2/5 becomes 5/2.
Step 3: Multiply the first fraction (dividend) by the reciprocal of the second fraction (divisor).
So, (7/3) x (5/2) = (7 * 5) / (3 * 2) = 35/6
Step 4: Simplify the resulting fraction, if possible.
35/6 cannot be simplified.
Therefore, the answer is 35/6, which is equivalent to 5 5/6.
To solve the division problem 2 1/3 ÷ 2/5, you can follow these steps:
Step 1: Convert mixed numbers to improper fractions.
The mixed number 2 1/3 can be written as the improper fraction (2*3 + 1)/3 = 7/3.
Step 2: Invert the divisor.
To divide fractions, you need to invert the second fraction (divisor). In this case, the second fraction is 2/5, so we invert it to get 5/2.
Step 3: Multiply the dividend by the inverted divisor.
Multiply the numerator of the dividend (7/3) by the numerator of the inverted divisor (5/2). (7/3) * (5/2) = (7*5)/(3*2) = 35/6.
Step 4: Simplify the resulting fraction.
To simplify the fraction 35/6, divide both numerator and denominator by their greatest common divisor (GCD), which is 5. (35/5) / (6/5) = 7/1 = 7.
Therefore, 2 1/3 ÷ 2/5 = 7.