(3/4h-1/2g)+(7/8h-3/4g)
To simplify the expression, we need to combine like terms.
(3/4h - 1/2g) + (7/8h - 3/4g)
First, let's combine the terms with h:
(3/4h + 7/8h) - (1/2g + 3/4g)
To add the fractions with h, we need a common denominator, which is 8. So we multiply the fractions with h by 2/2:
(3/4 * 2/2)h + (7/8h) - (1/2g + 3/4g)
(6/8h + 7/8h) - (1/2g + 3/4g)
Adding the fractions with h:
(13/8h) - (1/2g + 3/4g)
Now, we can combine the terms with g:
(13/8h) - (1/2g + 3/4g)
To add the fractions with g, we need a common denominator, which is 4. So we multiply the fractions with g by 2/2:
(13/8h) - (1/2 * 2/2g + 3/4g)
(13/8h) - (2/4g + 3/4g)
(13/8h) - (5/4g)
Now, we can't directly subtract fractions with different denominators. We need to find a common denominator, which is 8. So we multiply the fractions by 2/2 and 4/4 respectively:
(13/8h) - (5/4 * 2/2g)
(13/8h) - (10/8g)
We now have a common denominator, so we can combine the fractions:
(13h - 10g)/8
Simplify
I apologize for the confusion earlier. Let's simplify the expression further.
(3/4h - 1/2g) + (7/8h - 3/4g)
To get a common denominator for the fractions, we need to find the least common multiple of 4 and 8, which is 8.
So, let's rewrite the fractions with a common denominator:
(3/4 * 2/2h - 1/2 * 4/4g) + (7/8 * 1/1h - 3/4 * 2/2g)
Simplifying,
(6/8h - 4/8g) + (7/8h - 6/8g)
Now, we can add the like terms:
(6/8h + 7/8h) + (-4/8g - 6/8g)
((6 + 7)/8h) + ((-4 - 6)/8g)
(13/8h) + (-10/8g)
Finally, we can simplify the expression:
(13h - 10g)/8
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we can combine like terms.
First, let's simplify the h terms:
3/4h + 7/8h can be combined by finding a common denominator, which is 8.
To do this, we need to multiply the numerator and denominator of 3/4h by 2, and multiply the numerator and denominator of 7/8h by 1.
So, we have (3/4)*(2/2)h + (7/8)*(1/1)h, which simplifies to (6/8h) + (7/8h).
Next, let's simplify the g terms:
-1/2g - 3/4g can be combined by finding a common denominator, which is 4.
To do this, we need to multiply the numerator and denominator of -1/2g by 2, and multiply the numerator and denominator of -3/4g by 1.
So, we have (-1/2)*(2/2)g + (-3/4)*(1/1)g, which simplifies to (-2/4g) + (-3/4g).
Now, let's add the simplified h and g terms together:
(6/8h) + (7/8h) = (6h + 7h)/8h = 13h/8h = 13/8
(-2/4g) + (-3/4g) = (-2g - 3g)/4g = -5g/4g = -5/4
Finally, combining the simplified h and g terms, we get:
(13/8)h + (-5/4)g
So, the simplified expression is (13/8)h - (5/4)g.
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), you can combine like terms.
Let's start with the h terms: 3/4h and 7/8h.
To add these fractions, find a common denominator. In this case, the common denominator is 8, since it is a multiple of both 4 and 8.
Converting both fractions to have a denominator of 8:
(3/4h) multiplied by (2/2) is (6/8h).
(7/8h) remains the same.
Now we can add the h terms together:
(6/8h) + (7/8h) = (13/8h).
Next, let's move on to the g terms: -1/2g and -3/4g.
To add these fractions, find a common denominator. In this case, the common denominator is 4, since it is a multiple of both 2 and 4.
Converting both fractions to have a denominator of 4:
(-1/2g) multiplied by (2/2) is (-2/4g).
(-3/4g) remains the same.
Now we can add the g terms together:
(-2/4g) + (-3/4g) = (-5/4g).
Finally, we can combine the h and g terms together:
(13/8h) + (-5/4g).
So, the simplified expression is (13/8h) + (-5/4g).