Rewrite 4/7 and 6/11 so that they have a common denominator.

For this, you have to calculate LCM of denominators i.e., 7 and 11 that will be 77

Now, 77/7 = 11, so 4*11=44 & 77/11 = 7, so 6*7=42

44/77 and 42/77 is the answer

Final answer:

To get a common denominator for the fractions 4/7 and 6/11, we find the least common multiple of 7 and 11, which is 77. The fraction 4/7 becomes 44/77 when both numerator and denominator are multiplied by 11, and the fraction 6/11 becomes 42/77 when both are multiplied by 7.

Explanation:

In simple terms, a common denominator is found by identifying the least common multiple (LCM) of the denominators you are working with.  In this instance, we are facing two fractions: 4/7 and 6/11. The LCM of 7 and 11 is 77, because 7 and 11 are both prime numbers and prime numbers only have one common multiple - their product.

So, you can rewrite these fractions as follows:

1. For 4/7, you multiply both the numerator (the top number) and the denominator (the bottom number) by 11. This gives you 44/77.
2. For 6/11, you multiply both the numerator and the denominator by 7. This gives you 42/77.

Learn more about Common Denominator here:

brainly.com/question/7325714

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