The ratio 4:8 is equivalent to v:6
Find the value if v.
Please can you explain in every step in detail.
Thank you
4/8 = v/6
but 4/8 = 1/2
so you are really asking
1/2 = v/6
well multiply both sides by 2 if you do not already see the answer
2/2 = 2 v /6
simplify
1 = v/3
multiply both sides by 3
v = 3
The ratio 4:8 is equivalent to
To find the value of v in the given ratio 4:8 is equivalent to v:6, we can set up a proportion.
Step 1: Write the proportion equation
The two ratios are 4:8 and v:6. The general form of a proportion is a:b = c:d. So, we can set up the proportion as:
4/8 = v/6
Step 2: Simplify the equation
To simplify the equation, we can divide both the numerator and denominator on the left side by the greatest common divisor (GCD) of 4 and 8, which is 4.
(4/4)/(8/4) = v/6
1/2 = v/6
Step 3: Cross multiply
To eliminate fractions, we cross multiply by multiplying the numerator of one ratio by the denominator of the other ratio.
2v = 6
Step 4: Solve for v
To solve for v, we isolate the variable by dividing both sides of the equation by 2.
(2v)/2 = 6/2
v = 3
Therefore, the value of v is 3.
To find the value of v in the ratio 4:8 equivalent to v:6, you can use proportionality.
Step 1: Write the given ratios in fraction form:
The ratio 4:8 can be written as 4/8, and the ratio v:6 can be written as v/6.
Step 2: Set up the proportion:
Set up a proportion by equating the fractions:
4/8 = v/6
Step 3: Simplify the fraction on both sides:
To simplify the fraction 4/8, you can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 8 is 4. Dividing both by 4, you get:
4/8 = 1/2
Now our proportion becomes:
1/2 = v/6
Step 4: Cross-multiply:
Cross-multiply by multiplying the numerator of the left fraction by the denominator of the right fraction and vice versa:
1 * 6 = 2 * v
Simplifying further:
6 = 2v
Step 5: Solve for v:
To isolate v, divide both sides of the equation by 2:
6/2 = v
Simplifying further:
3 = v
Therefore, the value of v is 3.