Write your answer as a fraction or mixed number in simplest form.
-6/7
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-1/4+1
-1/4 + 1 = 3/4
-6/7 ÷ 3/4 = -6/7 * 4/3 = ___
To add the fractions -1/4 and 1, we need to find a common denominator. The LCD (Least Common Denominator) of 4 and 1 is 4 itself. Thus, we can rewrite the fractions with the common denominator of 4.
-1/4 + 1 = -1/4 + 4/4
Now that the fractions have the same denominator, we can combine the numerators:
-1/4 + 4/4 = (4 - 1)/4
Simplifying the numerator gives:
3/4
Therefore, the answer to the equation -1/4 + 1 is 3/4.
To simplify the expression, we need to find a common denominator for the fractions involved, which is 28.
First, let's find the equivalent form of each fraction with the common denominator of 28.
For -1/4, we can multiply the numerator and denominator by 7 to get -7/28.
For 1, we can write it as 1/1, and then multiply the numerator and denominator by 28 to get 28/28.
Now, let's calculate the sum of the two fractions: -7/28 + 28/28.
To add or subtract fractions, we need to have the same denominator. In this case, since both fractions have the same denominator of 28, we can simply add the numerators.
-7/28 + 28/28 = ( -7 + 28 ) / 28 = 21/28.
Now, we simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 7.
21/28 = (21 ÷ 7) / (28 ÷ 7) = 3/4.
Therefore, the simplified form of the expression -6/7 - 1/4 + 1 is 3/4.