8 2/5 divided by 2 5/8
(8 2/5) / (2 5/8)
(42/5) / (21/8)
(42/5) * (8/21) = 336/105 = 32
Wrong Ms. Sue, the real answer is 3 1/5
Stop feeding these kid bad information..
To divide 8 2/5 by 2 5/8, follow the steps below:
Step 1: Convert the mixed numbers to improper fractions:
8 2/5 = (8 * 5 + 2) / 5 = 42/5
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Step 2: Invert the divisor (the second fraction).
The reciprocal of 21/8 is 8/21.
Step 3: Multiply the dividend (the first fraction) by the reciprocal of the divisor.
42/5 * 8/21 = (42 * 8) / (5 * 21) = 336/105
Step 4: Simplify the fraction if possible.
In this case, both numbers are divisible by 7, so we can reduce the fraction further.
336/105 = (336 / 7) / (105 / 7) = 48/15
Step 5: Simplify the fraction again, if possible.
48/15 can be reduced by dividing both numbers by 3.
48/15 = (48/3) / (15/3) = 16/5
Therefore, 8 2/5 divided by 2 5/8 is equal to 16/5.
To divide 8 2/5 by 2 5/8, you first need to convert the mixed numbers into improper fractions. Here's how you do it:
8 2/5 = (5 * 8 + 2)/5 = 42/5
2 5/8 = (8 * 2 + 5)/8 = 21/8
Now that we have both fractions as improper fractions, we can proceed with the division:
42/5 ÷ 21/8
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, we have:
42/5 * 8/21
Next, multiply the numerators and denominators:
(42 * 8)/(5 * 21) = 336/105
Now, we simplify the fraction:
336/105 = (336 ÷ 7)/(105 ÷ 7) = 48/15
Finally, we simplify it further by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3:
48/15 = (48 ÷ 3)/(15 ÷ 3) = 16/5
Therefore, 8 2/5 divided by 2 5/8 equals 16/5.