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3 2/4- 4 3/8 subtraction of fraction


User Kcome
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2 Answers

6 votes

Answer: -7/8

Explanation:

Rewrite the mixed numbers as an improper fraction.

3 2/4= 14/4

4 3/8= 35/8

To subtract the fractions, make the bottom denominator the same, The lowest common denominator (a common multiple of the denominators) is 8. Therefore, multiply the fraction with a denominator of 4 by 2.

14x2/4x2= 28/8 (When the numerator and denominator are multiplied at the same time, the value of the fraction does not change)

Now you can subtract the two fractions

28/8-35/8= -7/8

User Kumar KL
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7.1k points
2 votes

Answer: 3 2/4 - 4 3/8 = 7/4 or 1 3/4.

Step-by-step explanation: To subtract these mixed numbers, we first need to convert them to improper fractions.

3 2/4 is equivalent to 3 + 2/4, which simplifies to 3 + 1/2, or 7/2.

4 3/8 is equivalent to 4 + 3/8, which can be written as 32/8 + 3/8, or 35/8.

Now, we can subtract the fractions by finding a common denominator:

7/2 - 35/8 = (28/8) * (7/2) - (35/8) = 98/16 - 35/8

To subtract these fractions, we need to find a common denominator of 16:

98/16 - 35/8 = (98/16) * (1/1) - (35/8) * (2/2) = 98/16 - 70/16

Subtracting the numerators, we get:

28/16

Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor, which is 4, we get:

7/4

User Arleigh Hix
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