what is the missing part of this 7/12=49/?

36/24=?/16
6/?=18/39
next part:
convert the mixed numbers to improper (topheavy) fractions:
2&3/5
3&4/7
8&1/2
convert the improper fractins to mixed numbers:
17/6
25/8
22/4

this is onli a small part of my home work please do as much of it as you can.thank you.

7/12 = 49/84

13/5

2 5/6

If you post your answers to the rest of the problems, we'll be happy to check them.

24/16

To find the missing parts in these equations, we can solve them using basic algebra. Let's go through each equation step by step:

1. 7/12 = 49/?
To find the missing part, we can cross multiply the fractions. Cross-multiplication means multiplying the numerator of one fraction by the denominator of the other fraction. So, we have:
7 * ? = 12 * 49
Now, we can solve for "?":
7 * ? = 588
Divide both sides by 7:
? = 588/7
Simplifying the fraction gives us:
? = 84

2. 36/24 = ?/16
Again, we can cross multiply the fractions:
36 * ? = 24 * 16
Simplify the equation:
36 * ? = 384
Divide both sides by 36:
? = 384/36 = 32/3

3. 6/? = 18/39
Cross multiplication gives:
6 * 39 = ? * 18
Simplifying the equation:
234 = ? * 18
Divide both sides by 18:
? = 13

Next, let's convert the mixed numbers to improper (top-heavy) fractions:

1. 2&3/5
To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction and add the numerator. Then, put that result over the original denominator. Applying this to 2&3/5:
2 * 5 + 3 = 13
The improper fraction is 13/5.

2. 3&4/7
Similarly, for 3&4/7:
3 * 7 + 4 = 25
The improper fraction is 25/7.

3. 8&1/2
For 8&1/2:
8 * 2 + 1 = 17
The improper fraction is 17/2.

Finally, let's convert the improper fractions to mixed numbers:

1. 17/6
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The whole number part is the quotient, and the remainder becomes the numerator of the fractional part. So, for 17/6:
17 ÷ 6 = 2 with a remainder of 5
The mixed number is 2&5/6.

2. 25/8
For 25/8:
25 ÷ 8 = 3 with a remainder of 1
The mixed number is 3&1/8.

3. 22/4
For 22/4:
22 ÷ 4 = 5 with no remainder
The mixed number is 5.

I hope this helps with your homework! If you have any more questions, feel free to ask.