First, simplify the fractions:
14/8 = 7/4
2/32 = 1/16
2/24 = 1/12
Substituting these values into the expression:
(7/4) × (1/16) - (1/12)
To subtract fractions, we need to have a common denominator. The least common multiple of 16 and 12 is 48, so we can convert the fractions:
(7/4) × (3/48) - (4/48)
Simplifying:
(21/192) - (4/48)
(21/192) - (16/192)
5/192
Therefore, the simplified expression is 5/192.
Step-by-step explanation:
[tex] \sf \: \longrightarrow \: \dfrac{14}{8} \times \dfrac{2}{32} - \dfrac{2}{24} [/tex]
[tex]\sf \: \longrightarrow \: \dfrac{ _7\cancel{14}}{ _4\cancel8} \times \dfrac{ \cancel2 {}^{1} }{ \cancel{32} {}^{16} } - \dfrac{2}{24} [/tex]
[tex]\sf \: \longrightarrow \: \dfrac{7}{64} - \dfrac{2}{24} [/tex]
[tex]\sf \: \longrightarrow \: \dfrac{21 - 16}{192}[/tex]
[tex]\sf \: \longrightarrow \: \dfrac{5}{192}[/tex]
[tex]\sf{ \color{blue}{ \: ♡⃡ ʈhank \: ᥙᩛou !! .}}[/tex]
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Answers & Comments
First, simplify the fractions:
14/8 = 7/4
2/32 = 1/16
2/24 = 1/12
Substituting these values into the expression:
(7/4) × (1/16) - (1/12)
To subtract fractions, we need to have a common denominator. The least common multiple of 16 and 12 is 48, so we can convert the fractions:
(7/4) × (3/48) - (4/48)
Simplifying:
(21/192) - (4/48)
(21/192) - (16/192)
5/192
Therefore, the simplified expression is 5/192.
Verified answer
Step-by-step explanation:
Solution :-
[tex] \sf \: \longrightarrow \: \dfrac{14}{8} \times \dfrac{2}{32} - \dfrac{2}{24} [/tex]
[tex]\sf \: \longrightarrow \: \dfrac{ _7\cancel{14}}{ _4\cancel8} \times \dfrac{ \cancel2 {}^{1} }{ \cancel{32} {}^{16} } - \dfrac{2}{24} [/tex]
[tex]\sf \: \longrightarrow \: \dfrac{7}{64} - \dfrac{2}{24} [/tex]
[tex]\sf \: \longrightarrow \: \dfrac{21 - 16}{192}[/tex]
[tex]\sf \: \longrightarrow \: \dfrac{5}{192}[/tex]
[tex]\sf{ \color{blue}{ \: ♡⃡ ʈhank \: ᥙᩛou !! .}}[/tex]