1) 2/5 x 3/7

A. 14/15
B. 5/12
C. 6/35
D. 1/5

2) 7/10 x 5/7
A. 1 13/50
B. 9/14
C. 14/17
D. 4/7

3) Jenny's lawn is 1/3 of an acre. After mowing 1/2 of the lawn, how much of an acre has she mowed?
A. 1/5
B. 1/6
C. 1/2
D. 2/5

4) A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What is the fraction of the water that leaked out?
A. 1/4
B. 2/3
C. 3/8
D. 3/16

Please help me!!! I suck at math!

No problem! I'm here to help you. Let's go through each question step by step.

Question 1: 2/5 x 3/7

To multiply fractions, you simply multiply the numerators (top numbers) and multiply the denominators (bottom numbers). Then, simplify the resulting fraction if necessary.

So, let's do the calculation:

2/5 x 3/7 = (2 x 3) / (5 x 7) = 6 / 35

Therefore, the correct answer is option C: 6/35.

Question 2: 7/10 x 5/7

Similarly, to multiply fractions, multiply the numerators and denominators, then simplify if possible.

Let's do the calculation now:

7/10 x 5/7 = (7 x 5) / (10 x 7) = 35 / 70

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5:

35 / 70 = (35 ÷ 5) / (70 ÷ 5) = 7 / 14

7/14 can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 7:

7 / 14 = (7 ÷ 7) / (14 ÷ 7) = 1/2

Thus, the correct answer is option C: 1/2.

Question 3: Jenny's lawn is 1/3 of an acre. After mowing 1/2 of the lawn, how much of an acre has she mowed?

To find out how much Jenny has mowed, we need to multiply the fraction representing the fraction of the lawn she has mowed (1/2) by the total area of her lawn (1/3 acre).

Let's do the calculation:

1/2 x 1/3 = (1 x 1) / (2 x 3) = 1/6

Therefore, Jenny has mowed 1/6 of an acre. The answer is option B: 1/6.

Question 4: A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What is the fraction of the water that leaked out?

To find the fraction of water that leaked out, we need to subtract the fraction remaining in the bucket after leaking from the original fraction.

Let's do the calculation:

Original fraction - Fraction remaining = Fraction leaked out

1 - 1/2 = 2/2 - 1/2 = 1/2

Therefore, the fraction of water that leaked out is 1/2. The answer is option C: 1/2.

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