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Find the difference.
5 1/8 - 2 3/4

User Hussic
by
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2 Answers

8 votes

Final answer:

To subtract the mixed numbers 5 1/8 and 2 3/4, convert them to improper fractions, find a common denominator, subtract, and convert the result back to a mixed number. The difference is 2 3/8.

Step-by-step explanation:

To find the difference between 5 1/8 and 2 3/4, we must first convert these mixed numbers into improper fractions. The mixed number 5 1/8 can be converted by multiplying the whole number 5 by the denominator 8 and adding the numerator 1, resulting in 41/8. On the other hand, the mixed number 2 3/4 is converted by multiplying the whole number 2 by the denominator 4 and adding the numerator 3, resulting in 11/4.

Next, we need a common denominator to subtract these two fractions. The least common denominator (LCD) for 8 and 4 is 8. Since 11/4 is not with an 8 in the denominator, we need to convert it. We do this by multiplying both the numerator and the denominator by 2, which gives us 22/8.

Now we can subtract the fractions: 41/8 - 22/8 equals 19/8. Since 19/8 is an improper fraction, we can convert it back to a mixed number by dividing 19 by 8, which is 2 with a remainder of 3. So, the mixed number is 2 3/8.

Therefore, the difference between 5 1/8 and 2 3/4 is 2 3/8.

User KevinAlbs
by
8.7k points
8 votes

Answer:2 3/ 8

Step-by-step explanation: 5 1/8 - 2 3/4

= 41/ 8 - 11/4

= 41/8 - 22/8

=19/8

=2 3/ 8

Change to improper fraction .Then make the denominator the same ,make both denominator to 8 . Now you have 41/8 and 22/8 ,you can subtract it and it gives you 19/8.Lastly you make the improper fraction to mixed numbers which is 2 3/ 8 .

User Stevenlacerda
by
7.5k points

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