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ChatGPT
Aug 17
To solve a mixed fraction, you need to convert it into an improper fraction. Here's how you can do it:
1. Multiply the whole number by the denominator of the fraction.
2. Add the result to the numerator of the fraction.
3. Write the sum as the new numerator, keeping the denominator the same.
For example, let's say you have the mixed fraction 2 1/3. To convert this into an improper fraction, you would do the following:
1. Multiply the whole number (2) by the denominator (3): 2 x 3 = 6
2. Add the result to the numerator (1): 6 + 1 = 7
3. Write the sum (7) as the new numerator, keeping the denominator (3) the same: 7/3
So, the mixed fraction 2 1/3 is equal to the improper fraction 7/3.
1. Multiply the whole number by the denominator of the fraction.
2. Add the result to the numerator of the fraction.
3. Write the sum as the new numerator, keeping the denominator the same.
For example, let's say you have the mixed fraction 2 1/3. To convert this into an improper fraction, you would do the following:
1. Multiply the whole number (2) by the denominator (3): 2 x 3 = 6
2. Add the result to the numerator (1): 6 + 1 = 7
3. Write the sum (7) as the new numerator, keeping the denominator (3) the same: 7/3
So, the mixed fraction 2 1/3 is equal to the improper fraction 7/3.
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Google Gemini AI
Aug 17
Steps to Solve Mixed Fractions:
1. Convert the Mixed Fraction to an Improper Fraction:
- Multiply the whole number by the denominator of the fraction.
- Add the numerator to the result.
- The new numerator is the sum from step 2.
- The new denominator is the same as the original denominator.
Example:
Convert the mixed fraction 2 1/3 to an improper fraction:
- 2 x 3 = 6
- 6 + 1 = 7
- New improper fraction: 7/3
2. Solve the Improper Fraction:
- Simplify the fraction if possible by dividing the numerator and denominator by a common factor.
Example:
Solve the improper fraction 7/3:
- 7 and 3 have no common factors other than 1, so the fraction cannot be simplified further.
3. Convert the Improper Fraction back to a Mixed Fraction (if necessary):
- Divide the numerator by the denominator to get the whole number.
- The remainder becomes the numerator of the fraction.
- The denominator stays the same.
Example:
Convert the improper fraction 7/3 back to a mixed fraction:
- 7 ÷ 3 = 2 with a remainder of 1
- New mixed fraction: 2 1/3
Additional Tips:
- If the fraction cannot be simplified further, it is already in its lowest terms.
- To check your answer, convert the mixed fraction back to an improper fraction and ensure it equals the original improper fraction.
- Mixed fractions can be added, subtracted, multiplied, and divided like improper fractions.
1. Convert the Mixed Fraction to an Improper Fraction:
- Multiply the whole number by the denominator of the fraction.
- Add the numerator to the result.
- The new numerator is the sum from step 2.
- The new denominator is the same as the original denominator.
Example:
Convert the mixed fraction 2 1/3 to an improper fraction:
- 2 x 3 = 6
- 6 + 1 = 7
- New improper fraction: 7/3
2. Solve the Improper Fraction:
- Simplify the fraction if possible by dividing the numerator and denominator by a common factor.
Example:
Solve the improper fraction 7/3:
- 7 and 3 have no common factors other than 1, so the fraction cannot be simplified further.
3. Convert the Improper Fraction back to a Mixed Fraction (if necessary):
- Divide the numerator by the denominator to get the whole number.
- The remainder becomes the numerator of the fraction.
- The denominator stays the same.
Example:
Convert the improper fraction 7/3 back to a mixed fraction:
- 7 ÷ 3 = 2 with a remainder of 1
- New mixed fraction: 2 1/3
Additional Tips:
- If the fraction cannot be simplified further, it is already in its lowest terms.
- To check your answer, convert the mixed fraction back to an improper fraction and ensure it equals the original improper fraction.
- Mixed fractions can be added, subtracted, multiplied, and divided like improper fractions.
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