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Math  /  Numbers & Operations

QuestionWhich fractions are equivalent to 610\frac{6}{10} ? Hint: There may be more than one. 410\frac{4}{10} 19\frac{1}{9} 24\frac{2}{4} 35\frac{3}{5} Submit

Studdy Solution

STEP 1

1. We are given the fraction 610\frac{6}{10}.
2. We need to determine which of the given fractions are equivalent to 610\frac{6}{10}.
3. Equivalent fractions have the same value when simplified.

STEP 2

1. Simplify the fraction 610\frac{6}{10}.
2. Simplify each given fraction.
3. Compare the simplified forms to determine equivalency.

STEP 3

Simplify the fraction 610\frac{6}{10}.
610=35\frac{6}{10} = \frac{3}{5}

STEP 4

Simplify each given fraction.
- 410\frac{4}{10}:
410=25\frac{4}{10} = \frac{2}{5}
- 19\frac{1}{9}:
19 is already in simplest form.\frac{1}{9} \text{ is already in simplest form.}
- 24\frac{2}{4}:
24=12\frac{2}{4} = \frac{1}{2}
- 35\frac{3}{5}:
35 is already in simplest form.\frac{3}{5} \text{ is already in simplest form.}

STEP 5

Compare the simplified forms to determine equivalency.
- 35\frac{3}{5} is equivalent to 610\frac{6}{10} since both simplify to 35\frac{3}{5}.
The fractions equivalent to 610\frac{6}{10} are:
35\boxed{\frac{3}{5}}

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