Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

$9 \frac{3}{4} = 9 + \frac{3}{4} = (8 + 1) + \frac{3}{4} = 8 + (1 + \frac{3}{4}) = 8 + \frac{7}{4} = 8 \frac{7}{4}$

Jimmy says that $8 \frac{7}{4}$ is a mixed fraction. Choose the correct option(s):

Jimmy is correct because the math he had done has no errors

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Jimmy is incorrect because the whole number part and the fractional parts are not numerically the same in both the fractions

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Solution

The correct option is C

For a number to be a mixed fraction, the fraction part has to be a proper fraction.
Jimmy is incorrect when he says that $8 \frac{7}{4}$ is a mixed fraction, because of the fraction part, $\frac{7}{4}$ , is not a proper fraction since its numerator is greater than its denominator.

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Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

$9 \frac{3}{4} = 9 + \frac{3}{4} = (8 + 1) + \frac{3}{4} = 8 + (1 + \frac{3}{4}) = 8 + \frac{7}{4} = 8 \frac{7}{4}$

Jimmy says that $8 \frac{7}{4}$ is a mixed fraction. Choose the correct option(s):

Q. While subtracting two mixed fractions, James performed the following steps:

3 \frac{5}{8} - 1 \frac{1}{4}

Step 1: Conversion from mixed to improper fraction

3 \frac{5}{8} = \frac{29}{8}, 1 \frac{1}{4} = \frac{5}{4}

Step 2: Taking the LCM of both the denominators. The LCM of 4 and 8 is 8.

Step 3: Subtraction:

\frac{29}{8} - \frac{5}{4} = \frac{29 \times 1 - 5 \times 2}{8} = \frac{19}{8}

Step 4: Conversion from improper to mixed fraction:

\frac{19}{8} = 2 \frac{5}{8}

In which step did he go wrong?

Q. Convert the following mixed fraction into improper fraction.

8 \frac{7}{9}

Q. Convert the given mixed fractions into improper

4 \frac{2}{3}

Q. Convert the following improper fraction into mixed fraction.

\frac{9}{4}

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Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper: 934=9+34=(8+1)+34=8+(1+34)=8+74=874 Jimmy says that 874 is a mixed fraction. Choose the correct option(s):

The correct option is C For a number to be a mixed fraction, the fraction part has to be a proper fraction. Jimmy is incorrect when he says that 874 is a mixed fraction, because of the fraction part, 74, is not a proper fraction since its numerator is greater than its denominator.