What comes after 3/4 on the number line

Mathematics

ScanSolve AI Answer

Answer

78\frac{7}{8}

Step-by-step solution

3 steps

To find the fraction that comes after 34\frac{3}{4} on the number line, we need to compare the given fractions with 34\frac{3}{4} and 1. The fractions available are 13,78,14,15,68\frac{1}{3}, \frac{7}{8}, \frac{1}{4}, \frac{1}{5}, \frac{6}{8}.

  1. Convert 34\frac{3}{4} and 1 to a common denominator, such as 8, or to decimals.

    34=3×24×2=68\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} 1=881 = \frac{8}{8}

    So we are looking for a fraction xx such that 68<x<88\frac{6}{8} < x < \frac{8}{8}.

  2. Evaluate the given fractions

    • 13\frac{1}{3}: This is approximately 0.333, which is less than 34\frac{3}{4} (0.75).
    • 78\frac{7}{8}: This is 0.875. Comparing with 34=68\frac{3}{4} = \frac{6}{8}: 68<78\frac{6}{8} < \frac{7}{8} Comparing with 1=881 = \frac{8}{8}: 78<88\frac{7}{8} < \frac{8}{8} So, 78\frac{7}{8} fits the condition 34<78<1\frac{3}{4} < \frac{7}{8} < 1.
    • 14\frac{1}{4}: This is 28\frac{2}{8}, which is less than 34\frac{3}{4}.
    • 15\frac{1}{5}: This is 0.2, which is less than 34\frac{3}{4}.
    • 68\frac{6}{8}: This fraction is equal to 34\frac{3}{4}, not after it.
  3. Identify the fraction that fits the position.

    From the comparison, 78\frac{7}{8} is the only fraction from the list that is greater than 34\frac{3}{4} and less than 1.

    The fraction that comes after 34\frac{3}{4} on the number line is 78\boxed{\frac{7}{8}}.

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