1 and 3 fifths times negative 3 fourths
To multiply 1 and 3/5 by -3/4, we multiply the whole number and the fractional part separately.
The whole number part is 1 multiplied by -3/4, which equals -3/4.
The fractional part is 3/5 multiplied by -3/4. To multiply fractions, we multiply the numerators and the denominators separately.
3/5 * -3/4 = (3 * -3) / (5 * 4) = -9/20
Therefore, 1 and 3/5 times -3/4 equals -3/4 - 9/20.
To add these two fractions, we need to find a common denominator.
The least common multiple of 4 and 20 is 20.
-3/4 is equivalent to -15/20.
-15/20 + -9/20 = -24/20
Simplifying -24/20 gives us:
-24/20 = -6/5
So 1 and 3/5 times -3/4 equals -6/5.
To multiply 1 and 3/5 by -3/4, follow these steps:
Step 1: Convert the mixed number 1 and 3/5 to an improper fraction.
1 and 3/5 = (5 * 1 + 3) / 5 = 8/5
Step 2: Multiply the numerator of the first fraction by the numerator of the second fraction.
8/5 * -3/4 = (8 * -3) / (5 * 4) = -24/20
Step 3: Simplify the resulting fraction, if needed.
-24/20 can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 4.
-24/20 = -6/5
Therefore, 1 and 3/5 times -3/4 equals -6/5.