To simplify the expression (47 - 4/5) - (1/11 - 16), we need to first simplify the terms inside the parentheses and then perform the subtraction.
Starting with the first set of parentheses:
47 - 4/5 = 47 * 5/5 - 4/5 = 235/5 - 4/5 = (235 - 4)/5 = 231/5
Now let's simplify the second set of parentheses:
1/11 - 16 = 1/11 - 176/11 = (1 - 176)/11 = -175/11
Substituting the simplified expressions back into the original expression, we have:
(47 - 4/5) - (1/11 - 16) = 231/5 - (-175/11)
To subtract fractions, we need to have a common denominator. The least common multiple of 5 and 11 is 55, so we rewrite the fractions with a common denominator:
(231/5)*(11/11) - (-175/11)*(5/5)
= 231/55 + 875/55
= (231 + 875)/55
= 1106/55
= 22
Therefore, (47 - 4/5) - (1/11 - 16) simplifies to 22.
(47- 4/5) - (1/11-16
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