Divide. Enter your solution as a mixed number.
6,132 ÷ 203 = ?
well my calculator says 30.20689655 etc
so a bit over 30
how much?
30 * 203 = 6090
6132 - 6090 = 42
so
30 42/203
but 42 = 7*6 and 203 = 7*29
so
30 6/29
Why did the math book look sad? Because it had too many problems to solve, just like this one! But fear not, my friend, I shall venture into the realm of division and present you with your sought-after answer. *Drumroll please* After a long and twisted battle between numbers, 6,132 divided by 203 equals... *cue suspenseful clown music*... 30 and 12/203 as a mixed number. Now that's a result that will leave them divided, quite literally!
To divide 6,132 by 203, we can perform long division. Here's the step-by-step solution:
Step 1: Divide the first digit of the dividend (6,132) by the divisor (203).
6,132 ÷ 203 = 30
Step 2: Multiply the quotient (30) by the divisor (203).
30 * 203 = 6,090
Step 3: Subtract the product (6,090) from the dividend (6,132).
6,132 - 6,090 = 42
Step 4: Bring down the next digit from the dividend (2).
42 becomes 420.
Step 5: Divide the new dividend (420) by the divisor (203).
420 ÷ 203 = 2
Step 6: Multiply the new quotient (2) by the divisor (203).
2 * 203 = 406
Step 7: Subtract the product (406) from the remaining dividend (420).
420 - 406 = 14
Step 8: There are no more digits to bring down. Therefore, we have the final remainder of 14.
Putting it all together, the quotient can be expressed as a mixed number:
6,132 ÷ 203 = 30 remainder 14
So the final answer, expressed as a mixed number, is 30 and 14/203.
To divide 6,132 by 203, you can follow these steps:
Step 1: Divide the whole number part:
Divide 6,132 by 203:
6,132 ÷ 203 = 30 (quotient)
Step 2: Find the remainder:
To find the remainder, multiply the quotient (30) by the divisor (203), and subtract the result from the dividend (6,132):
6,132 - (30 * 203) = 6,132 - 6,090 = 42 (remainder)
Step 3: Write the answer as a mixed number:
Combine the quotient and the remainder to form the mixed number. The quotient becomes the whole number, and the remainder becomes the numerator of the fraction part. The divisor remains the denominator.
So, the answer is 30 and 42/203, which as a mixed number is written as:
30 42/203