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Question

# Help Anna with her homework by finding the correct expression whose final value is 214 .

A
778514
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B
758618
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C
834518
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D
778558
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Solution

## The correct option is D 778−558To find the correct expression, we need to calculate the difference of each pair of fractions. For the first option, we see: Calculating 778−514 , we get: Whole number part=7−5=2 Fractional part=78−14=78−1×24×2=78−28=58 Combining the two parts, we get: 778−514=258 For the second option, we see: Calculating 758−618 , we get: Whole number part=7−6=1 Fractional part=58−18=68=34 Combining the whole number and the fractional parts, we get: 758−618=134 For the third option, we see: Calculating 834−518 , we get: Whole number part=8−5=3 Fractional part=34−18=3×24×2−18=68−18=58 Combining the whole number and the fractional parts, we get: 834−518=358 Finally, calculating 778−558 we get: Whole number part=7−5=2 Fractional part=78−58=28=2÷28÷2=14 Combining the whole number and the fractional parts, we get: 778−558=214 ∴ The expression with the final value as 214 is 778−558

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