Monica spent 5/8 hours listening to tapes of Beethoven and Brahms. She spent 2/7 hours listening to Beethoven. How many hours were spent listening to Brahms?

Question

Monica spent 5/8 hours listening to tapes of Beethoven and Brahms. She spent 2/7 hours listening to Beethoven. How many hours were spent listening to Brahms?

Answer 1

First, we need to find the total amount of time Monica spent listening to tapes of Beethoven and Brahms:

5/8 hours = (5/8) / 1 = 5/8 hours
2/7 hours = (2/7) / 1 = 2/7 hours

Total time = 5/8 + 2/7
To find a common denominator, we can multiply 8 and 7 to get 56:

(5/8 * 7/7) + (2/7 * 8/8)
= 35/56 + 16/56
= 51/56 hours

Now, we need to find out how many hours Monica spent listening to Brahms. Since Monica spent 2/7 hours listening to Beethoven, she spent the remaining time listening to Brahms:

Total time - time spent on Beethoven = time spent on Brahms
51/56 - 2/7
To find a common denominator, we can multiply 8 and 7 to get 56:

(51/56) - (16/56)
= 35/56 hours

Therefore, Monica spent 35/56 hours listening to Brahms.

Monica spent 5/8 hours listening to tapes of Beethoven and Brahms. She spent 2/7 hours listening to Beethoven. How many hours were spent listening to​ Brahms?

First, we need to find the total amount of time Monica spent listening to tapes of Beethoven and Brahms:

Monica spent 5/8 hours listening to tapes of Beethoven and Brahms. She spent 2/7 hours listening to Beethoven. How many hours were spent listening to Brahms?