-5/11+1/4
-5/11+1/4
-5/11= -5*4/11*4= -20/44
1/4=1*11/4*11=11/44
-5/11+1/4= -20/44+11/44= -9/44
-5/11+1/4
-20/44 + 11/44 = -9/44
To solve the expression -5/11 + 1/4, we need to find a common denominator for the fractions. The common denominator is the least common multiple (LCM) of the denominators, which in this case is 44.
Next, we need to rewrite the fractions with the common denominator. To do this, we multiply the numerator and denominator of each fraction by the same factor so that the denominator becomes 44.
For the first fraction, -5/11, we multiply both the numerator and denominator by 4 to get:
(-5 * 4) / (11 * 4) = -20 / 44
For the second fraction, 1/4, we don't need to make any changes since the denominator is already 4.
Now, we can add the fractions:
-20/44 + 1/4
Since the denominators are now the same, we can add the numerators:
-20 + 11 = -9
The result is -9/44.
Therefore, -5/11 + 1/4 equals -9/44.