Which is smaller -7-13 or 5-7

Converting fractions as Like fraction7/13 or 5/7=7× 7/13× 7 or 5× 13/7× 13=49/91 Therefore 7/13 is smaller than 5/7.Hence 7/13is smaller than 5/7. ...

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Standard VI

Mathematics

Proper Fraction

Which is smal...

Question

Which is smaller ?
$\frac{7}{13} o r \frac{5}{7}$

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Solution

Converting fractions as Like fraction
$\frac{7}{13} o r \frac{5}{7} = \frac{7 \times 7}{13 \times 7} o r \frac{5 \times 13}{7 \times 13} = \frac{49}{91} < \frac{65}{91}$
Therefore $\frac{7}{13}$ is smaller than $\frac{5}{7}$ .
Hence $\frac{7}{13}$ is smaller than $\frac{5}{7}$ .

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Similar questions

State, true or false :
$(i) \frac{7}{9} = \frac{7 + 5}{9 + 5} (i i) \frac{7}{9} = \frac{7 - 5}{9 - 5} (i i i) \frac{7}{9} = \frac{7 \times 5}{9 \times 5} (i v) \frac{7}{9} = \frac{7 \div 5}{9 \div 5} (v) \frac{- 5}{- 12} is a negative rational number (v i) \frac{- 13}{25} is smaller than \frac{- 25}{13} .$

Compare the given fraction and replace $' □'$ by an appropriate sign $' < or >'$

$\frac{3}{6} □ \frac{5}{6}$

Q. Out of the rational numbers

\frac{7}{- 13}, \frac{- 5}{13}, \frac{- 11}{13}

which is smaller ?

Q. Which one is smaller?

7

8.5

Q. Which fraction is smaller?

\frac{8}{15}

\frac{4}{7}

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Which is smaller ?713or57

Converting fractions as Like fraction713or57=7×713×7or5×137×13=4991<6591Therefore 713is smaller than 57.Hence 713 is smaller than 57.

Which is smaller ?
$\frac{7}{13} o r \frac{5}{7}$

Converting fractions as Like fraction
$\frac{7}{13} o r \frac{5}{7} = \frac{7 \times 7}{13 \times 7} o r \frac{5 \times 13}{7 \times 13} = \frac{49}{91} < \frac{65}{91}$
Therefore $\frac{7}{13}$ is smaller than $\frac{5}{7}$ .
Hence $\frac{7}{13}$ is smaller than $\frac{5}{7}$ .