Can anyone answer these?
3/12 + 3/4x
4/(x + 3) * 3x/8
4x/15 ÷ 12x/3
13/(4x) * 16/39
(3/2)x + (5/2)
9/(4xa) - 3/4
Yes, anyone can answer these questions. To get the answers, we need to simplify each expression step by step. Let's go through each question:
1. 3/12 + 3/4x:
To simplify this expression, we need to find a common denominator for the fractions. The common denominator for 12 and 4x is 12x. Multiplying the numerator and denominator of the first fraction by x, and the numerator and denominator of the second fraction by 3, we get:
(3x/12x) + (9/12x)
Now, we can add the fractions:
(3x + 9) / 12x
2. 4/(x + 3) * 3x/8:
To simplify this expression, we multiply the numerators and denominators of the fractions:
(4 * 3x) / ((x + 3) * 8)
Simplifying further:
12x / (8x + 24)
Dividing both the numerator and denominator by 4 gives us the simplified form:
3x / (2x + 6)
3. 4x/15 ÷ 12x/3:
To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction:
(4x/15) * (3/12x)
Simplifying, we cancel out common factors in the numerator and denominator:
(1/5) * (1/4)
Multiplying the numerators and denominators, we get:
1/20
4. 13/(4x) * 16/39:
We multiply the numerators and denominators of the fractions:
(13 * 16) / (4x * 39)
Simplifying further:
208 / (156x)
Dividing both the numerator and denominator by 4, we get:
52 / (39x)
5. (3/2)x + (5/2):
To simplify this expression, we can distribute the (3/2) to 'x' and the (5/2):
(3/2)x + (3/2)(5/2)
Simplifying:
(3/2)x + 15/4
Combining the fractions, we need to find a common denominator, which is 4:
(6x/4) + 15/4
Adding the fractions, we get:
(6x + 15) / 4
6. 9/(4xa) - 3/4:
To subtract fractions, we need a common denominator which is 4xa:
(9/(4xa)) - (3/4)
Multiplying the numerator and denominator of the first fraction by 'a', we get:
(9a/(4axa)) - (3/4)
Simplifying further:
(9a - 3(1))/(4axa)
Combining like terms in the numerator:
(9a - 3)/(4axa)
Now you have the simplified forms of the given expressions.