a. x/5 - 2 = 4
b. 5m - 2/5 = 3/5
c. x/4 + 1/4 = 3/4
4. y/8 - 7/8 = 3/8
(a.)
x/5 - 2 = 4
x/5 = 4 + 2
5*(x/5) = 5*(6)
x = 30
(b.)
5m - 2/5 = 3/5
5m = 3/5 + 2/5
5m = 5/5
(5m)/5 = 1/5
m = 1/5
(c.)
x/4 + 1/4 = 3/4
x/4 = 3/4 - 1/4
4*(x/4) = 4*(2/4)
x = 2
(d.)
y/8 - 7/8 = 3/8
y/8 = 3/8 + 7/8
8*(y/8) = 8*(10/8)
y = 10
thank you, jai
could you this four question. Jai
a. 3m/2 = 45 1/2
b. 4e/5 - 32 = 28
c. n/6 + 5 2/3 = 12 1/3
d. 29 = 1/3 a + 12
(a.)
3m/2 = 45 1/2
Note that to solve this, we should first change the mixed number (the 45 1/2) to an improper fraction. To change, multiply the whole number (the 45) to the denominator of the fraction (which is 2), then add the numerator to the product:
45 1/2 = (45*2 + 1)/2 = 91/2
Rewriting the equation,
3m/2 = 91/2
(3/2)*m = 91/2
To solve for only for m, we divide both side of the equation by the numerical coefficient (the number before the variable) of the variable, m, which is 3/2.
[(3/2)m]/(3/2) = (91/2)/(3/2)
Note that when dividing with a fraction, we take its reciprocal (interchanging numerator & denominator places) and the operation becomes multiplication:
[(3/2)m]*(2/3) = (91/2)*(2/3)
m = 91/3
m = 30 1/3 [mixed number form]
(b.)
This is almost same with the other items.
4e/5 - 32 = 28
We need only variable, e, alone. To do this, the other term (the - 32) should go to the other side. If a term goes to the other side of equation, its sign changes:
4e/5 = 28 + 32
(4/5)*e = 60
Now solve for e.
(c.)
n/6 + 5 2/3 = 12 1/3
Change the mixed numbers to improper fractions:
5 2/3 = (5*3 + 2)/3 = 17/3
12 1/3 = (12*3 + 1)/3 = 37/3
Rewriting,
n/6 + 17/3 = 37/3
n/6 = 37/3 - 17/3
Note that when adding or subtracting fractions, their denominators must be the same. In this case they the same so it should be easy.
Now solve for n.
(d.)
29 = (1/3)a + 12
(1/3)a + 12 = 29
(1/3)a = 29 - 12
(1/3)a = 17
Now solve for a.
*Note the important things that you should know: changing mixed numbers to improper fractions and performing operations with fractions.
Hope this helps~ :)
any one can answer this question
thank you
To solve these equations, we need to isolate the variable on one side of the equation. Here is how you can solve each equation step by step:
a. x/5 - 2 = 4
Step 1: Add 2 to both sides of the equation to remove the -2 on the left side.
x/5 - 2 + 2 = 4 + 2
x/5 = 6
Step 2: Multiply both sides of the equation by 5 to isolate x.
(x/5) * 5 = 6 * 5
x = 30
Therefore, the solution to the equation x/5 - 2 = 4 is x = 30.
b. 5m - 2/5 = 3/5
Step 1: Add 2/5 to both sides of the equation to remove the -2/5 on the left side.
5m - 2/5 + 2/5 = 3/5 + 2/5
5m = 5/5
Step 2: Simplify the right side of the equation.
5m = 1
Step 3: Divide both sides of the equation by 5 to isolate m.
(5m)/5 = 1/5
m = 1/5
Therefore, the solution to the equation 5m - 2/5 = 3/5 is m = 1/5.
c. x/4 + 1/4 = 3/4
Step 1: Subtract 1/4 from both sides of the equation to remove the 1/4 on the left side.
x/4 + 1/4 - 1/4 = 3/4 - 1/4
x/4 = 2/4
Step 2: Simplify the right side of the equation.
x/4 = 1/2
Step 3: Multiply both sides of the equation by 4 to isolate x.
(x/4) * 4 = (1/2) * 4
x = 2
Therefore, the solution to the equation x/4 + 1/4 = 3/4 is x = 2.
d. y/8 - 7/8 = 3/8
Step 1: Add 7/8 to both sides of the equation to remove the -7/8 on the left side.
y/8 - 7/8 + 7/8 = 3/8 + 7/8
y/8 = 10/8
Step 2: Simplify the right side of the equation.
y/8 = 5/4
Step 3: Multiply both sides of the equation by 8 to isolate y.
(y/8) * 8 = (5/4) * 8
y = 10
Therefore, the solution to the equation y/8 - 7/8 = 3/8 is y = 10.