Mathematics
MackenzieHall
14

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

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(2) Answers
lyssie11234

[latex]\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}[/latex]

john10

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

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