Asked by Sushmita Rathour on Jul 07, 2024
Verified
Subtract the fractions 216−1116\frac { 2 } { 16 } - \frac { 11 } { 16 }162−1611 and write the result in simplest form.
A) −916- \frac { 9 } { 16 }−169
B) 90\frac { 9 } { 0 }09
C) 1332\frac { 13 } { 32 }3213
D) −1316- \frac { 13 } { 16 }−1613
E) 916\frac { 9 } { 16 }169
Subtract Fractions
The operation of taking one fraction away from another, which involves finding a common denominator and then subtracting the numerators.
Simplest Form
Simplest form refers to expressing a mathematical expression or fraction in its most reduced terms, with no common factors between the numerator and the denominator.
- Conduct arithmetic operations, including addition, subtraction, multiplication, and division, with fractions and streamline the outcomes.
- Conduct arithmetic manipulations on fractional numbers and present the outcomes in their most reduced form.
Verified Answer
AC
along chanelJul 12, 2024
Final Answer :
A
Explanation :
To subtract the fractions, we need a common denominator. The smallest common denominator that works is 16. Therefore, we have:
216−1116=−916\frac{2}{16}-\frac{11}{16}=\frac{-9}{16}162−1611=16−9
We can then simplify $\frac{-9}{16}$ to $\boxed{\textbf{(A) } -\frac{9}{16}}$.
216−1116=−916\frac{2}{16}-\frac{11}{16}=\frac{-9}{16}162−1611=16−9
We can then simplify $\frac{-9}{16}$ to $\boxed{\textbf{(A) } -\frac{9}{16}}$.
Learning Objectives
- Conduct arithmetic operations, including addition, subtraction, multiplication, and division, with fractions and streamline the outcomes.
- Conduct arithmetic manipulations on fractional numbers and present the outcomes in their most reduced form.