Which equation is NOT true?
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Answer:
B
Step-by-step explanation:
Using the method of cross- multiplication
[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc
If ad ≠ bc then equation is not true
A
[tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex] , then
10 × 6 = 12 × 5 = 60 ← equation is true
B
[tex]\frac{69}{100}[/tex] = [tex]\frac{6}{10}[/tex] , then
69 × 10 = 690 and 100 × 6 = 600
690 ≠ 600 ← equation not true
C
[tex]\frac{10}{5}[/tex] = [tex]\frac{200}{100}[/tex] , then
10 × 100 = 5 × 200 = 1000 ← equation is true
D
[tex]\frac{12}{4}[/tex] = [tex]\frac{6}{2}[/tex] , then
12 × 2 = 4 × 6 = 24 ← equation is true
Hi!
I can help you with joy! :)
• Here, we need to determine if each equation is true by simplifying fractions.
• The 1st equation states that
10/12 = 5/6
Is it true?
Let’s simplify 10/12 to find out.
Divide 10 and 12 by 2:
5/6
Thus. The 1st equation is true.
How about the next one?
We have 3 options left.
69/100=6/10
Is that correct?
Nope!
Why?
If we simplify 69/100, we will not get 6/10.
In fact, 69/100 cannot be simplified.
Thus, the second equation is not true.
Now, how about Options C and D?
Well, both of these equations ARE true.
Thus, the second equation is not true.
Hope it helps.
Do ask if you have any query.
~Silent~