Math

QuestionWhich of these is NOT equal to 3654\frac{36}{54}? A. 1218\frac{12}{18} B. 812\frac{8}{12} C. 2430\frac{24}{30} D. 4872\frac{48}{72}

Studdy Solution

STEP 1

Assumptions1. We are given that 3654=3654÷9=443\frac{36}{54} = \frac{36}{54} \div9 = \frac{4}{4}-\frac{}{3}. . We are asked to find which of the following fractions is not equivalent to 3654\frac{36}{54} 1218\frac{12}{18}, 2430\frac{24}{30}, 812\frac{8}{12}, 4872\frac{48}{72}.

STEP 2

First, we need to simplify the given fraction 3654\frac{36}{54} to its simplest form.
3654=2\frac{36}{54} = \frac{2}{}

STEP 3

Now, we will simplify each of the given options to their simplest form and compare them with 23\frac{2}{3}.

STEP 4

implify option A, 1218\frac{12}{18}.
1218=23\frac{12}{18} = \frac{2}{3}

STEP 5

implify option B, 812\frac{8}{12}.
812=23\frac{8}{12} = \frac{2}{3}

STEP 6

implify option C, 2430\frac{24}{30}.
2430=45\frac{24}{30} = \frac{4}{5}

STEP 7

implify option D, 4872\frac{48}{72}.
4872=23\frac{48}{72} = \frac{2}{3}

STEP 8

After simplifying all the options, we find that options A, B, and D are equivalent to 23\frac{2}{3}, but option C is not. Therefore, option C is not equivalent to 3654\frac{36}{54}.
The answer is option C, 2430\frac{24}{30}.

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