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Simplify 3 whole 1/6 + 1 whole 1/4 - 2 whole 2/5

User Akrabi
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Final answer:

To simplify 3 whole 1/6 + 1 whole 1/4 - 2 whole 2/5, convert the mixed numbers to improper fractions and find a common denominator. Add/subtract the fractions by finding a common denominator. Simplify the resulting fraction.

Step-by-step explanation:

To simplify the expression 3 whole 1/6 + 1 whole 1/4 - 2 whole 2/5, we need to convert the mixed numbers into improper fractions and find a common denominator.

1 whole 1/6 is equal to 7/6 and 1 whole 1/4 is equal to 5/4. 2 whole 2/5 is equal to 12/5.

Now, we can add/subtract the fractions by first finding a common denominator, which in this case is 20.

So, 7/6 + 5/4 - 12/5 is equal to (35/30) + (25/20) - (48/20).

Combining the fractions gives us (35/30) + (25/20) - (48/20) = 35/30 + 25/20 - 48/20.

Next, we need to find a common denominator of 30 and 20, which is 60.

Converting the fractions gives us (35/30) + (25/20) - (48/20) = (35/30 * 2/2) + (25/20 * 3/3) - (48/20).

Simplifying further, we get (70/60) + (75/60) - (48/20) = 145/60 - 48/20.

Now, we can subtract the fractions: 145/60 - 48/20 = (145/60 * 5/5) - (48/20 * 3/3) = 725/300 - 144/60.

Finally, simplifying further, we have 725/300 - 144/60 = 725/300 - 240/100 = 725/300 - 720/300 = 5/300 = 1/60.

User Coneybeare
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