MackenzieHall
7

# help me simplify 1/2+3/4x4/5?

$\frac{1}{2}+\frac{3}{\not4_1}\cdot\frac{\not4^1}{5}=\frac{1}{2}+\frac{3}{5}=\frac{1\cdot5}{2\cdot5}+\frac{3\cdot2}{5\cdot2}=\frac{5}{10}+\frac{6}{10}=\frac{5+6}{10}=\frac{11}{10}=1\frac{1}{10}$
Use PEMDAS: Parenthesis Exponenents Multiplication & Division Addition & Subtraction Muliply $\frac{3}{4}$ by $\frac{4}{5}$. $3*4=12 \\ 4*5=20$ Our fraction is $\frac{12}{20}$. Now simplify. Use 4, because both numbers, 12 and 20, are divisible by 4.  $\frac{12/4}{20/4} = \frac{3}{5}$ We get $\frac{3}{5}$ Now find the common denominator for $\frac{3}{5}$ and $\frac{1}{2}$. Use the listing method. 2: 2, 4, 6, 8, 10 5: 5, 10 10 is the common denominator for both 2 and 5. Multiply 5 by 2, and its numerator, 3, by 2. $5*2=10 \\ 3*2=6$ Our fraction is $\frac{6}{10}$ Do the same with 1/2. Multiply 2 by 5, and its numerator, 1, by 5. $2*5=10 \\ 1*5=5$ Our fraction is $\frac{5}{10}$ Now add. $\frac{6}{10} + \frac{5}{10} = \frac{11}{10}$ Now simplify. $\frac{11}{10}=1 \frac{1}{10}$ Hope this helped!