Mrs. Martin wrote three equations.

Equation 1: 3 4/5 = 3/8
Equation 2: 24% = 6/25
Equation 3: 12.5 = 125%

which of the equations is NOT true?


A) Equation 1 only

B) Equations 2 and 3 only

C) Equation 3 only

D) All three equations are true

Respuesta :

Let's evaluate each equation:

Equation 1: \(3 \frac{4}{5} = \frac{3}{8}\)

To compare the fractions, convert \(3 \frac{4}{5}\) to an improper fraction:

\(3 \frac{4}{5} = \frac{3 \times 5 + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5}\)

So, Equation 1 becomes:

\(\frac{19}{5} = \frac{3}{8}\)

These two fractions are not equal. Therefore, Equation 1 is NOT true.

Equation 2: \(24\% = \frac{6}{25}\)

To convert 24% to a fraction, divide by 100:

\(24\% = \frac{24}{100} = \frac{6 \times 4}{25 \times 4} = \frac{6}{25}\)

Equation 2 is true.

Equation 3: \(12.5 = 125\%\)

To convert 125% to a decimal, divide by 100:

\(125\% = \frac{125}{100} = 1.25\)

Equation 3 becomes:

\(12.5 = 1.25\)

Equation 3 is true.

Therefore, the equation that is NOT true is A) Equation 1 only.

A is not true while the rest are true
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