Subtract. 4 3/4−(−1 1/12) Enter your answer as a simplified mixed number by filling in the boxes.

Rewriting a mixed number as an improper fraction

Rewrite 3\dfrac453

5

4

3, start fraction, 4, divided by, 5, end fraction as an improper fraction.

3\dfrac45=\blueD3+\greenD{\dfrac45}3

5

4

=3+

5

4

3, start fraction, 4, divided by, 5, end fraction, equals, start color #11accd, 3, end color #11accd, plus, start color #1fab54, start fraction, 4, divided by, 5, end fraction, end color #1fab54

\phantom{3\dfrac45}=\blueD1+\blueD1+\blueD1+\greenD{\dfrac45}3

5

4

=1+1+1+

5

4

empty space, equals, start color #11accd, 1, end color #11accd, plus, start color #11accd, 1, end color #11accd, plus, start color #11accd, 1, end color #11accd, plus, start color #1fab54, start fraction, 4, divided by, 5, end fraction, end color #1fab54

\phantom{3\dfrac45}=\blueD{\dfrac55}+\blueD{\dfrac55}+\blueD{\dfrac55}+\greenD{\dfrac45}3

5

4

=

5

5

+

5

5

+

5

5

+

5

4

empty space, equals, start color #11accd, start fraction, 5, divided by, 5, end fraction, end color #11accd, plus, start color #11accd, start fraction, 5, divided by, 5, end fraction, end color #11accd, plus, start color #11accd, start fraction, 5, divided by, 5, end fraction, end color #11accd, plus, start color #1fab54, start fraction, 4, divided by, 5, end fraction, end color #1fab54

5

4

=

5

5+5+5+4

empty space, equals, start fraction, start color #11accd, 5, end color #11accd, plus, start color #11accd, 5, end color #11accd, plus, start color #11accd, 5, end color #11accd, plus, start color #1fab54, 4, end color #1fab54, divided by, 5, end fraction

5

4

=

5

19

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: