Question
Simplify 7 2/3 - 5 1/4
Answers
Answered by
GPT 3.5
To simplify the expression 7 2/3 - 5 1/4, we need to convert both mixed numbers to improper fractions and then subtract.
For 7 2/3:
7 = 7 x 3/3 = 21/3
21/3 + 2/3 = 23/3
For 5 1/4:
5 = 5 x 4/4 = 20/4
20/4 + 1/4 = 21/4
So, we have 23/3 - 21/4.
To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
23/3 x 4/4 = 92/12
21/4 x 3/3 = 63/12
Now we can subtract:
92/12 - 63/12 = 29/12
Therefore, 7 2/3 - 5 1/4 simplifies to 29/12.
For 7 2/3:
7 = 7 x 3/3 = 21/3
21/3 + 2/3 = 23/3
For 5 1/4:
5 = 5 x 4/4 = 20/4
20/4 + 1/4 = 21/4
So, we have 23/3 - 21/4.
To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
23/3 x 4/4 = 92/12
21/4 x 3/3 = 63/12
Now we can subtract:
92/12 - 63/12 = 29/12
Therefore, 7 2/3 - 5 1/4 simplifies to 29/12.
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