8.3333
It is 7.3333333333
101.3333
16.6154
162
The remainder is the amount that cannot be divided into the equation, in other words, the leftovers. Example: 7 / 2 = 3 So now to figure out the remainder we multiply the divider by the answer. [in other words: 7 / (divider) = (answer)] [divider * answer] 2 * 3 = 6 So now to calculate the remainder we subtract this new answer by the number we started out with, in this case 7. 7 - 6 = 1 So the remainder is 1 [3 remainder 1]
If x ≡ 39 mod 357 then: x = 357k + 39 for some integer k. Now 357 = 21×17, and 39 = 2×17+5 → x = 21×17×k + 2×17 + 5 → x = 17(21k + 2) + 5 → x = 17m + 5 where m = 21k + 2 (is an integer) → x ≡ 5 mod 17 → the remainder when the number is divided by 17 is 5.
(x1000 - x500 - 1)/(x - 1) (x1000 + 0x999 + ... + 0x501 - x500 + ... + 0x - 1)/(x - 1) Now you can find the remainder, if you like...
There is no such number. For suppose x was a number such that it keft the same remainder r, when divided by 99 and 204. Then x = 99a + r and x = 204b +r for some integers a and b. Consider y = x + 99*204 then y > x Now y = (99a + r) + 99*204 = 99*(a+204) + r so y leaves a remainder of r when divided by 99. Also y = (204b + r) + 99*204 = 204*(b+99) + r so y leaves a remainder of r when divided by 204. This contradicts the proposition that x is the maximum such number.
To find the largest number that, when divided into both 63 and 75, leaves a remainder of three, you can use the concept of greatest common divisor (GCD) or greatest common factor (GCF). The GCD of 63 and 75 is the largest number that can evenly divide both numbers. To find it, you can use the Euclidean algorithm: Start with the two numbers: 63 and 75. Divide 75 by 63: 75 รท 63 = 1 with a remainder of 12. Now, replace the larger number (75) with the remainder (12) and keep the smaller number (63) as is: 63 and 12. Repeat the process: 63 รท 12 = 5 with a remainder of 3. Again, replace the larger number (63) with the remainder (3) and keep the smaller number (12) as is: 12 and 3. Repeat once more: 12 รท 3 = 4 with no remainder. Now that you have reached a point where the remainder is 0, the GCD is the last non-zero remainder, which is 3. So, the largest number that, when divided into both 63 and 75, leaves a remainder of three is 3.
By dividing by 2:3 divided by 2 is 1 remainder 1.The decimal point now follows.The remainder 1 is ten times the value of the 0 in the next column, so add 10 x 1 to 0 to get 10.10 divided by 2 is 5 remainder 0.so half of 3.0 is 1.5:...... 1 . 5... -------2 | 3 . 0....... 2....... --....... 1 . 0....... 1 . 0....... -----............... 0
The dividend is the number you are dividing so you know it is 2 divided by something. Now to get a remainder of 2, you need the divisor to be larger than than 2, so: 2/3 works as does 2/4, 2/5,2/6,2/7 and so on
If x ≡ w mod 357 then: x = 357k + w for some integer k. Now 357 = 21×17, and w = 17n + c for some integers n ≥ 0 and 0 ≤ c < 17 → w ≡ c mod 17 This gives: x = 21×17×k + 17n + c → x = 17(21k + n) + c → x = 17m + c where m = 21k + n (is an integer) → x ≡ c mod 17 → the remainder when the number is divided by 17 is the same as the remainder when the original remainder w is divided by 17.
7 times 3=21, so 21 is part of the answer somehow. However, 21 is an odd number. Now, if we multiply 21 X 2= 42 The answer is an even number. 42/3=14 has no remainder 42/7=6, again no remainder So 42, and any whole multipleof 42, would be a satisfactory answer.