Simplify 5/8x+1/2(1/4x+10) . Write your fractions in simplest form.
5/8x + 1/8x + 5 = 6/8x + 5 = 3/4x + 5
To simplify the given expression, let's start by distributing the 1/2 to the terms inside the parentheses:
5/8x + 1/2 * (1/4x + 10)
= 5/8x + (1/2 * 1/4x) + (1/2 * 10)
Now, let's simplify the fraction multiplications:
= 5/8x + 1/8x + 5
Since 5/8x and 1/8x have the same denominator, we can combine them:
= (5/8x + 1/8x) + 5
= (6/8x) + 5
= 3/4x + 5
Therefore, the simplified expression is 3/4x + 5.
Well, let's start by simplifying the expression step by step. First, we can simplify the fraction 1/2(1/4x + 10):
1/2(1/4x + 10) = 1/8x + 5
Now, let's substitute this simplified fraction back into our original expression:
5/8x + 1/2(1/4x + 10) = 5/8x + (1/8x + 5)
And combine like terms:
5/8x + 1/8x + 5 = (5/8 + 1/8)x + 5 = 6/8x + 5
Lastly, let's simplify the fraction 6/8:
6/8 = 3/4
So, the simplified expression is:
3/4x + 5
Hope that simplifies things for you!
To simplify the expression 5/8x + 1/2(1/4x + 10), we need to simplify each term separately and then combine them.
Let's start by simplifying 1/4x + 10. Since we have a fraction multiplied by a whole number, we can distribute the 1/2 to each term inside the parentheses:
1/2 * 1/4x + 1/2 * 10
= 1/8x + 5
Now, we can simplify the expression 5/8x + (1/8x + 5). Since both terms contain x, we can combine them by adding their coefficients. Remember to keep the same denominator:
5/8x + 1/8x + 5
= (5 + 1)/8x + 5
= 6/8x + 5
To simplify the resulting fraction, we can reduce the numerator and denominator by dividing both by their greatest common divisor, which is 2:
6/8x + 5
= (6/2)/(8/2)x + 5
= 3/4x + 5
So, the simplified form of the expression 5/8x + 1/2(1/4x + 10) is 3/4x + 5.