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2(2)/(7)+1(1)/(4)
Give your answer as a mixed number in its simplest form.
Optional working

vle.mathswatch.co.uk\newlineMy Work\newlineVideos\newlineMy Progress\newlineFeedba\newlineathswatch\newlineKSpring Break_Grade 66\newline66\newline77\newline88\newline99\newline1010\newline1111\newline1212\newline1313\newline1414\newline1515\newline1616\newline1717\newline1818\newline1919\newline2020\newlineProgress\newlineHomework Progress\newline8/55 8 / 55 \newlineork out\newline227+114 2 \frac{2}{7}+1 \frac{1}{4} \newlineGive your answer as a mixed number in its simplest form.\newlineOptional working

Full solution

Q. vle.mathswatch.co.uk\newlineMy Work\newlineVideos\newlineMy Progress\newlineFeedba\newlineathswatch\newlineKSpring Break_Grade 66\newline66\newline77\newline88\newline99\newline1010\newline1111\newline1212\newline1313\newline1414\newline1515\newline1616\newline1717\newline1818\newline1919\newline2020\newlineProgress\newlineHomework Progress\newline8/55 8 / 55 \newlineork out\newline227+114 2 \frac{2}{7}+1 \frac{1}{4} \newlineGive your answer as a mixed number in its simplest form.\newlineOptional working
  1. Multiply whole numbers with fractions: First, let's multiply the whole numbers by the fractions: 2×(27)2 \times \left(\frac{2}{7}\right) and 1×(14)1 \times \left(\frac{1}{4}\right).\newline2×(27)=472 \times \left(\frac{2}{7}\right) = \frac{4}{7}\newline1×(14)=141 \times \left(\frac{1}{4}\right) = \frac{1}{4}
  2. Add fractions with common denominator: Now, let's add the two fractions: 47+14\frac{4}{7} + \frac{1}{4}. To add fractions, we need a common denominator. The least common denominator (LCD) for 77 and 44 is 2828.
  3. Convert fractions to have LCD: Convert each fraction to have the LCD as the denominator:\newline47=(4×4)(7×4)=1628\frac{4}{7} = \frac{(4\times4)}{(7\times4)} = \frac{16}{28}\newline14=(1×7)(4×7)=728\frac{1}{4} = \frac{(1\times7)}{(4\times7)} = \frac{7}{28}
  4. Add converted fractions: Now add the converted fractions: 1628+728\frac{16}{28} + \frac{7}{28}.\newline1628+728=16+728=2328\frac{16}{28} + \frac{7}{28} = \frac{16+7}{28} = \frac{23}{28}
  5. Final answer: The sum of the fractions is 2328\frac{23}{28}, which is already in its simplest form.\newlineSo, the final answer is 2328\frac{23}{28}.

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