Question

b. Subtract 7 1/3 - 3 4/5​

Answer 1

ɢɪᴠᴇɴ:

• Subtract ${\bf{7\frac{1}{3} - 3\frac{4}{5} }}$

$\boxed{\bf{ꜱᴛᴇᴩꜱ \: ᴛᴏ \: ꜱᴏʟᴠᴇ:}}$

1. Convert mixed fractions into improper Fractions.
2. Take the LCM of the denominators.
3. Multiply the denominator to make them equal.
4. Subtracts the result.

ꜱᴏʟᴠɪɴɢ ɪᴛ:

• ${\bf{7\frac{1}{3} }}$ = ${\bf{\frac{22}{3}}}$

• ${\bf{3 \frac{4}{5}}}$ = ${\bf{\frac{19}{5}}}$

ɴᴏᴡ,

• Take LCM of the denominators, i.e, 3 and 5
• LCM = 15

ɴᴏᴡ ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ᴍᴜʟᴛɪᴩʟy 22/3 ᴀɴᴅ 19/5 ʙy ᴀ ɴᴜᴍʙᴇʀ, ꜱᴏ ᴛʜᴀᴛ ᴛʜᴇɪʀ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ ʙᴇᴄᴏᴍᴇ ꜱᴀᴍᴇ.

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• ${\bf{\frac{22}{3} \times 5 = \frac{110}{15} }}$

• ${\bf{\frac{19}{5} \times 3 = \frac{57}{15} }}$

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$\tt\bf\blue{Since \: we \: have \: the \: same \: denominators \: of \: both \: the \: Fraction \: now,}$

$\tt\bf\blue{we \: can \: subtract \: them \: easily.}$

➺ ${\bf{\frac{110}{15} - \frac{57}{15} }}$

➺ ${\bf{\frac{110 - 57}{15}}}$

➺ $\tt\bf\red{\frac{53}{15} ✓}$

ᴄᴏɴᴠᴇʀᴛɪɴɢ ᴛʜᴇ ʀᴇꜱᴜʟᴛ ɪɴᴛᴏ ᴍɪxᴇᴅ ꜰʀᴀᴄᴛɪᴏɴ:

${\bf{\frac{53}{15} = 3 \frac{8}{15}}}$

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Answer 2

Step-by-step explanation:

In an AP sum of its first n terms is 3n square + 5n and its kth term is 164 ,find the value of k