Evaluate the expression shown below and write your answer as a mixed number in simplest form: -1 5/7 times -1 3/10
To evaluate the expression -1 5/7 times -1 3/10, we can convert the mixed numbers into improper fractions.
-1 5/7 is the same as -7/7 + 5/7, which simplifies to -12/7.
-1 3/10 is the same as -10/10 + 3/10, which simplifies to -13/10.
Now, we can multiply the fractions by multiplying the numerators and denominators:
(-12/7) * (-13/10) = (12*13)/(7*10) = 156/70.
Simplifying the fraction, we notice that both the numerator and denominator are divisible by 2:
156/70 = 78/35.
Therefore, the expression -1 5/7 times -1 3/10 equals 78/35.