Frankie solved the math problem below. Find the error in Frankie's work and explain it in words, using math language. 2 1/3 - 1 2/5 2 1/3 x 5/5 = 2 5/15 -1 2/5 x 3/3 = -1 6/15 = -1 1/15

Respuesta :

Given:

The expression is

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex]

To find:

The error in Frankie's work.

Solution:

We need to simplify [tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex], so

[tex]2\dfrac{1}{3}=2\dfrac{1}{3}\times \dfrac{5}{5}[/tex]

[tex]2\dfrac{1}{3}=2\dfrac{5}{15}[/tex]

and,

[tex]1\dfrac{2}{5}=-1\dfrac{2}{5}\times \dfrac{3}{3}[/tex]

[tex]1\dfrac{2}{5}=-1\dfrac{6}{15}[/tex]

Now,

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2\dfrac{5}{15}-1\dfrac{6}{15}[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=(2+\dfrac{5}{15})-(1+\dfrac{6}{15})[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2+\dfrac{5}{15}-1-\dfrac{6}{15}[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=1-\dfrac{1}{15}[/tex]

[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=\dfrac{14}{15}[/tex]

Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.

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