To solve this, you need to first convert the mixed numbers to improper fractions.
-6 7/12 can be rewritten as -6 + 7/12. To convert it to an improper fraction, multiply the whole number (-6) by the denominator of the fraction (12) and add the numerator (7). Keep the same denominator.
-6 * 12 = -72
-72 + 7 = -65
Therefore, -6 7/12 is equal to -65/12.
-4 1/3 can be rewritten as -4 + 1/3. To convert it to an improper fraction, multiply the whole number (-4) by the denominator of the fraction (3) and add the numerator (1). Keep the same denominator.
-4 * 3 = -12
-12 + 1 = -11
Therefore, -4 1/3 is equal to -11/3.
Now that both mixed numbers have been converted to improper fractions, you can subtract them:
-65/12 - 11/3
To subtract fractions, find a common denominator. In this case, it is 12 because both fractions already share that denominator.
To convert 11/3 to have a denominator of 12, multiply both the numerator and denominator by 4:
11/3 * 4/4 = 44/12
Now the subtraction becomes:
-65/12 - 44/12
To subtract, simply subtract the numerators while keeping the denominator the same:
(-65 - 44)/12 = -109/12
Therefore, −6 7/12 − 4 1/3 is equal to -109/12 or -9 1/12.
What is −6 7/12 − 4 1/3 ?(1 point)
3 answers
you sure
Apologies for the mistake in my previous response. Let's correct it:
To solve −6 7/12 − 4 1/3, we need to first convert the mixed numbers to improper fractions.
-6 7/12 can be converted to an improper fraction by multiplying the whole number (-6) by the denominator (12) and adding the numerator (7). The denominator remains the same.
-6 * 12 = -72
-72 + 7 = -65
Therefore, -6 7/12 is equivalent to -65/12.
Similarly, -4 1/3 can be converted to an improper fraction by multiplying the whole number (-4) by the denominator (3) and adding the numerator (1). The denominator stays the same.
-4 * 3 = -12
-12 + 1 = -11
So, -4 1/3 is equal to -11/3.
Now we can subtract the fractions:
-65/12 - 11/3
To simplify, we need to find a common denominator. In this case, the least common multiple of 12 and 3 is 12.
Converting -11/3 to have a denominator of 12:
-11/3 * 4/4 = -44/12
The subtraction then becomes (-65/12) - (-44/12):
-65/12 + 44/12 = -21/12
Now we need to simplify the fraction. The greatest common divisor of 21 and 12 is 3, so we can divide both the numerator and denominator by 3:
-21/12 ÷ 3/3 = -7/4
Therefore, −6 7/12 − 4 1/3 is equal to -7/4.
To solve −6 7/12 − 4 1/3, we need to first convert the mixed numbers to improper fractions.
-6 7/12 can be converted to an improper fraction by multiplying the whole number (-6) by the denominator (12) and adding the numerator (7). The denominator remains the same.
-6 * 12 = -72
-72 + 7 = -65
Therefore, -6 7/12 is equivalent to -65/12.
Similarly, -4 1/3 can be converted to an improper fraction by multiplying the whole number (-4) by the denominator (3) and adding the numerator (1). The denominator stays the same.
-4 * 3 = -12
-12 + 1 = -11
So, -4 1/3 is equal to -11/3.
Now we can subtract the fractions:
-65/12 - 11/3
To simplify, we need to find a common denominator. In this case, the least common multiple of 12 and 3 is 12.
Converting -11/3 to have a denominator of 12:
-11/3 * 4/4 = -44/12
The subtraction then becomes (-65/12) - (-44/12):
-65/12 + 44/12 = -21/12
Now we need to simplify the fraction. The greatest common divisor of 21 and 12 is 3, so we can divide both the numerator and denominator by 3:
-21/12 ÷ 3/3 = -7/4
Therefore, −6 7/12 − 4 1/3 is equal to -7/4.
1 answer