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Compare
2(2)/(5) and
(7)/(3). Which is greater?

Compare $2 \frac{2}{5}$ and $\frac{7}{3}$ . Which is greater?

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Equivalent fractions

Full solution

Q. Compare

2 \frac{2}{5}

and

\frac{7}{3}

. Which is greater?

Convert to Decimal Form: To compare the two fractions, we first need to express them in a way that makes comparison easy. We can do this by either finding a common denominator or converting them to decimal form. Let's convert them to decimal form for easier comparison.
Calculate $2(\frac{2}{5})$ : Calculate the decimal form of $2(\frac{2}{5})$ . Since $\frac{2}{5}$ is $0.4$ , multiplying by $2$ gives us $2 \times 0.4 = 0.8$ . So, $2(\frac{2}{5})$ is $2 + 0.8 = 2.8$ .
Calculate $7/3$ : Calculate the decimal form of $7/3$ . Dividing $7$ by $3$ gives us approximately $2.3333$ (repeating).
Compare Decimal Numbers: Now we compare the two decimal numbers. We have $2.8$ and $2.3333$ . It is clear that $2.8$ is greater than $2.3333$ .

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