Answer :
Sure! Let's solve the equation [tex]\( k \div 6 = 1.69 \)[/tex] step-by-step to find the value of [tex]\( k \)[/tex].
1. Understand the equation: We have [tex]\( k \)[/tex] divided by 6 which is equal to 1.69. We want to solve for [tex]\( k \)[/tex].
2. Isolate [tex]\( k \)[/tex]: To get [tex]\( k \)[/tex] by itself, we need to undo the division by 6. We can do this by multiplying both sides of the equation by 6. This is because multiplication and division are inverse operations.
[tex]\[
k \div 6 \times 6 = 1.69 \times 6
\][/tex]
3. Simplify the equation: On the left-hand side, [tex]\( k \div 6 \times 6 \)[/tex] simplifies to [tex]\( k \)[/tex] because the division and multiplication by 6 cancel each other out.
[tex]\[
k = 1.69 \times 6
\][/tex]
4. Calculate the result: Multiply 1.69 by 6 to find the value of [tex]\( k \)[/tex].
[tex]\[
k = 10.14
\][/tex]
So, the value of [tex]\( k \)[/tex] is 10.14.
1. Understand the equation: We have [tex]\( k \)[/tex] divided by 6 which is equal to 1.69. We want to solve for [tex]\( k \)[/tex].
2. Isolate [tex]\( k \)[/tex]: To get [tex]\( k \)[/tex] by itself, we need to undo the division by 6. We can do this by multiplying both sides of the equation by 6. This is because multiplication and division are inverse operations.
[tex]\[
k \div 6 \times 6 = 1.69 \times 6
\][/tex]
3. Simplify the equation: On the left-hand side, [tex]\( k \div 6 \times 6 \)[/tex] simplifies to [tex]\( k \)[/tex] because the division and multiplication by 6 cancel each other out.
[tex]\[
k = 1.69 \times 6
\][/tex]
4. Calculate the result: Multiply 1.69 by 6 to find the value of [tex]\( k \)[/tex].
[tex]\[
k = 10.14
\][/tex]
So, the value of [tex]\( k \)[/tex] is 10.14.