Question

9 5/6 - (m - 1 1/4)= 3 3/8​

Answer 1

$9\dfrac{5}{6}-\bigg(m-1\dfrac{1}{4}\bigg)=3\dfrac{3}{8}\\\\ \dfrac{59}{6}-\bigg(m-\dfrac{5}{4}\bigg)=\dfrac{27}{8}\\\\ \dfrac{59}{6}-m+\dfrac{5}{4}=\dfrac{27}{8}\\\\ \dfrac{59}{6}+\dfrac{5}{4}-m=\dfrac{27}{8}\\\\ \dfrac{236}{24}+\dfrac{30}{24}-m=\dfrac{27}{8}\\\\ \dfrac{266}{24}-m=\dfrac{27}{8}\\\\ -m=\dfrac{27}{8}-\dfrac{266}{24}\\\\ -m=\dfrac{81}{24}-\dfrac{266}{24}\\\\ -m=-\dfrac{185}{24}\\\\ -m=-7\dfrac{17}{24}\\\\ \bold{m=7\dfrac{17}{24}}$

Answer 2

To solve the equation 9 5/6 - (m - 1 1/4) = 3 3/8, we need to simplify the expression on the left side and then solve for the variable "m".

Let's start by converting all the mixed numbers into improper fractions:

9 5/6 = (6 * 9 + 5) / 6 = 59/6 1 1/4 = (4 * 1 + 1) / 4 = 5/4 3 3/8 = (8 * 3 + 3) / 8 = 27/8

Now we can rewrite the equation as:

59/6 - (m - 5/4) = 27/8

To simplify further, we need to distribute the negative sign to the terms inside the parentheses:

59/6 - m + 5/4 = 27/8

Next, we can find a common denominator for the fractions:

The common denominator for 6, 4, and 8 is 24.

Multiplying each fraction by the appropriate factor to obtain a denominator of 24:

(59/6) * (4/4) = 236/24 (m) * (24/24) = 24m/24 (5/4) * (6/6) = 30/24 (27/8) * (3/3) = 81/24

Now, the equation becomes:

236/24 - 24m/24 + 30/24 = 81/24

We can combine the fractions on the left side:

(236 - 24m + 30) / 24 = 81/24

Now, let's eliminate the denominator by multiplying both sides of the equation by 24:

24 * [(236 - 24m + 30) / 24] = 24 * (81/24)

This simplifies to:

236 - 24m + 30 = 81

Combine like terms:

266 - 24m = 81

Next, isolate the variable by moving constants to the other side:

-24m = 81 - 266

Simplify:

-24m = -185

Finally, solve for "m" by dividing both sides of the equation by -24:

m = (-185) / (-24)

Simplifying the division:

m = 185/24

Therefore, the solution to the equation is m = 185/24.