Question

add the following factors 5/7+7/5​

Answer 1

ɢɪᴠᴇɴ:

• Add 5/7 and 7/5

ꜱᴛᴇᴩꜱ ᴛᴏ ꜱᴏʟᴠᴇ:

• The given terms have different denominators. For adding any two fractions, they must have the same denominators.
• So, first we will make the denominators equal by the LCM (Least Common Multiple) method.

ᴛᴀᴋɪɴɢ ʟᴄᴍ:

*LCM of 7 & 5 = 35

• After taking LCM, we will multiply denominators of both the fraction by such a number that it results in 35 (The LCM value that we got)

ᴍᴀᴋɪɴɢ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ ᴇqᴜᴀʟ:

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{5}{7} \times \frac{5}{5} = \frac{25}{35}$

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{7}{5} \times \frac{7}{7} = \frac{49}{35}$

ɴᴏᴡ:

• Since we got the denominators equal of both the fractions, now we can add them!

ᴀᴅᴅɪɴɢ:

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{5}{7} + \frac{7}{5} = \frac{25}{35} + \frac{49}{35}$

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{25}{35} + \frac{49}{35} = \frac{25 + 49}{35}$

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{74}{35}$

ꜰɪɴᴀʟ ᴀɴꜱᴡᴇʀ:

• ${\boxed{\sf{74/35}}}$ is the answer we got.

★Converting it into Mixed Fraction:

$~~~~~~~~~$ → ${\boxed{\sf{74/35 = 2 \frac{4}{35}}}}$

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Answer 2

$\huge {\fbox{\sf {\underline{answer}}}}$

$\large{ \sf \green{\underline{solution: }}}$

$\sf{ \frac{5}{7} + \frac{7}{5} }$

_____________________________________

$\sf{let \: the \: denominator \: be \: same.}$

$\sf \therefore \: \frac{5 \times 5}{7 \times 5 } = \frac{25}{35} ...(1)$

$\sf \therefore \: \frac{7 \times 7}{5 \times 7} = \frac{49}{35} ....(2)$

$\sf{ \: add \: the \: fraction \: (1) \: and \: (2).}$

$\frac{25}{35} + \frac{49}{35} = \frac{74}{35}$

$\sf \: \frac{5}{7} + \frac{7}{5} = \boxed { \sf \green{ \frac{74}{35} }}$

$\sf{ \: \: \: \: \: \: \: ▬▬▬▬▬▬▬▬▬▬ \: \: \: \: \: \: \: }$