Answer :
Answer:
-2 1/2 * 6 3/4 = -135/8
= -16 7/8
= -16.875
Step-by-step explanation:
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Unary minus: -5/
2
= -5/
2
Conversion a mixed number 6 3/
4
to a improper fraction: 6 3/4 = 6 3/
4
= 6 · 4 + 3/
4
= 24 + 3/
4
= 27/
4
To find a new numerator:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/
4
= 24/
4
b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 4.
Six and three quarters is twenty-seven quarters
Multiple: the result of step No. 2 * 27/
4
= -5/
2
* 27/
4
= -5 · 27/
2 · 4
= -135/
8
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-135, 8) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus five halfs multiplied by twenty-seven quarters is minus one hundred thirty-five eighths.
