Multiply the new numerator by the reciprocal of the new denominator.
C
Multiply the new numerator by the reciprocal of the new denominator.
A
- 3/14
B
- 4/15
C
- 9/16
Practice makes perfect
A complex fraction is a rational expression that has at least one fraction in its numerator or denominator, or both. We want to simplify the given complex fraction.
- 27/1 13
When dividingreal numbers, the quotient of an integer a by an integer b is always positive if those integers have the same sign.
cc
Same Sign & Different Signs
(+)/(+)=(+) & (+)/(-)=(-)
(-)/(-)=(+) & (-)/(+)=(-)
In our case one number is positive and one number is negative, so the quotient will be negative. Now, we need to start by rewriting the mixed number as a fraction before simplify the division.
Now, we will multiply the numerator by the reciprocal of the denominator.
- 27/43 ⇔ - 2/7 * 3/4
We can simplify this expression by canceling any common factors.
We want to simplify the given complex fraction.
- 35/2 14
When dividing real numbers, the quotient of an integer a by an integer b is always positive if those integers have the same sign.
cc
Same Sign & Different Signs
(+)/(+)=(+) & (+)/(-)=(-)
(-)/(-)=(+) & (-)/(+)=(-)
In our case one number is positive and one number is negative, so the quotient will be negative. Now, we need to start by rewriting the mixed number as a fraction before simplify the division.
We want to simplify the given complex fraction.
- 910/1 35
When dividing real numbers, the quotient of an integer a by an integer b is always positive if those integers have the same sign.
cc
Same Sign & Different Signs
(+)/(+)=(+) & (+)/(-)=(-)
(-)/(-)=(+) & (-)/(+)=(-)
In our case one number is positive and one number is negative, so the quotient will be negative. Now, we need to start by rewriting the mixed number as a fraction before simplify the division.
Next, we will multiply the numerator by the reciprocal of the denominator.
- 910/85 ⇔ - 9/10 * 5/8
We can simplify this expression by canceling any common factors.
