Let, the number be "x"
Now,
according to the question,
4x -8 = x -23....................This is your equation.
Now solving it,
4x - 8 = x - 23
4x - x = -23 + 8
3x = -15
x = -15 / 3
x = -5
Checking the answer,
4 (-5) - 8 = (-5) - 23
-20 - 8 = -5 - 23
-28 = -28......................................true
16, 24, 32
and it goes on, and on.
Answer:
<h3>Rules for division with a mixed number and a whole number
</h3>
<h3>The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator 1.
</h3>
<h3> 2.Division of the fractions is converted into a multiplication operation by multiplying the improper fraction with the reciprocal of the whole number.
</h3>
<h3> 3.The resulting fraction, if required, is written as a mixed number in simplest form.</h3>
<h2>I WILL GIVE YOU EXAMPLES AND LET ME JUST HOPE YOU GET IT ;)</h2><h2 /><h3>Example1: </h3><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>213÷7
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 213 as an improper fraction
</h3><h3>
</h3><h3>213=(2×3+1)3=73; 7=71
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>The division is converted into multiplication as follows
</h3><h3>
</h3><h3>213÷7=73÷71=73×17
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>73×17=(7×1)(3×7)=721
</h3><h3>Step 4:
</h3><h3>
</h3><h3>721 can be simplified and written as follows
</h3><h3>
</h3><h3>721=13
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 213÷7=13</h3><h3 /><h3>example2: </h3><h3 /><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>5÷134
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 134 as an improper fraction
</h3><h3>
</h3><h3>134=(1×4+3)4=74; 5=51
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>5÷134=51÷74=51×47
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>51×47=(5×4)(1×7)=207
</h3><h3>Step 4:
</h3><h3>
</h3><h3>207 can be written as a mixed number as follows
</h3><h3>
</h3><h3>207=267
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 5÷134=267</h3><h3 /><h3>OK HOPE THIS HELPS YOU :')</h3><h3 /><h3>PLEASE MARK ME BRILLIANT :3 </h3><h3>THANK YOU -</h3>