-5 1/4×-11/12
To multiply fractions, multiply the numerators together and multiply the denominators together.
In this case, we have:
-5 1/4 × -11/12
First, convert the mixed number -5 1/4 to an improper fraction.
-5 1/4 is the same as -5 × 4/4 + 1/4, which simplifies to -20/4 + 1/4 or -19/4.
Now, multiply the fractions:
-19/4 × -11/12
Multiply the numerators: -19 × -11 = 209
Multiply the denominators: 4 × 12 = 48
So, the final answer is 209/48.
To multiply -5 1/4 by -11/12, follow these steps:
Step 1: Convert the mixed number -5 1/4 to an improper fraction.
-5 1/4 = -5 × 4/4 + 1/4 = -20/4 + 1/4 = -19/4
Step 2: Multiply the fractions.
-19/4 × -11/12 = (-19 × -11) / (4 × 12) = 209/48
Therefore, -5 1/4 multiplied by -11/12 equals 209/48.
To calculate the expression -5 1/4 × -11/12, we need to convert the mixed number -5 1/4 to an improper fraction. The mixed number -5 1/4 can be written as an improper fraction by multiplying the whole number part (5) by the denominator (4), then adding the numerator (1), and writing it over the denominator:
-5 1/4 = (-5 * 4 + 1) / 4 = -21/4
Now we can proceed with the multiplication:
(-21/4) × (-11/12)
To multiply fractions, we multiply the numerators together and the denominators together. So, multiplying the numerators (-21 * -11) and the denominators (4 * 12), we get:
(-21 * -11) / (4 * 12) = 231/48
The fraction 231/48 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 3. By dividing both the numerator and denominator by 3, we get the simplified fraction:
231/48 = (231 ÷ 3) / (48 ÷ 3) = 77/16
Therefore, the result of -5 1/4 × -11/12 is 77/16.