What is the product of -1 3/8 and 2 4/5 expressed as a mixed number?
(-11/8)(14/5) = - (11/4)(7/5)
= 77/20
= 3 17/20
To find the product of -1 3/8 and 2 4/5, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-1 3/8 can be written as -11/8.
2 4/5 can be written as 14/5.
Step 2: Multiply the two fractions.
Multiply the numerators (-11 * 14) to get -154.
Multiply the denominators (8 * 5) to get 40.
So the product of the two fractions is -154/40.
Step 3: Simplify the fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is 2.
Divide both the numerator and denominator by the GCD (2) to get -77/20.
Step 4: Convert the improper fraction back to a mixed number.
To convert the improper fraction -77/20 to a mixed number, divide the numerator (-77) by the denominator (20).
The quotient is -3 and the remainder is -17.
So, the mixed number is -3 17/20.
Therefore, the product of -1 3/8 and 2 4/5 expressed as a mixed number is -3 17/20.