Write your answer as a reduced improper fraction. What is -12, 7+3/14
To solve this expression, we first need to simplify the fraction part: 7 + 3/14.
To do this, we need to find a common denominator for 14 and 1 (since 3 can be written as 3/1). The least common multiple (LCM) of 14 and 1 is, of course, 14.
So, 7 + 3/14 can be rewritten as (7 * 14)/14 + 3/14.
Simplifying the numerator, we get 98/14 + 3/14.
Now that the fractions have the same denominator, we can add the numerators:
98/14 + 3/14 = (98 + 3)/14 = 101/14.
Therefore, -12 + (7 + 3/14) can be written as a reduced improper fraction as:
-12 + 101/14 = (-12 * 14 + 101)/14 = (-168 + 101)/14 = -67/14.
Hence, the answer is -67/14.
To find the sum of -12 and 7+3/14, we can first convert the mixed number 7+3/14 into an improper fraction.
To do so, we multiply the whole number, 7, by the denominator, 14, and add the numerator, 3. This gives us (7*14) + 3 = 98 + 3 = 101.
Now, we write this as a fraction with the same denominator, 14: 101/14.
Next, we can add the two fractions together:
-12 + 101/14
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 14.
To make the denominators the same, we multiply the numerator and denominator of -12 by 14, which gives us (-12*14) / 1 = -168/14.
Now, we can add the two fractions together:
-168/14 + 101/14 = (-168 + 101)/14 = -67/14.
Therefore, the sum of -12 and 7+3/14 is -67/14, which is a reduced improper fraction.