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ioda
2 years ago
5

John was adding Rational Numbers. He showed his work below. What was John's error?

Mathematics
1 answer:
bogdanovich [222]2 years ago
6 0

Answer:

-5 3/5

Step-by-step explanation:

John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so

(-7 4/5) + (2 1/5), convert to improper fractions

-39/5 + 11/5, both fractions have common denominator so we can continue

-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions

-28/5 = (-25/5) + (-3/5) = -5 3/5

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jeyben [28]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:m\overbrace{DB}= 90 \degree

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: m \overbrace{DB}  + m \overbrace{TB}  = 180 \degree

[ linear pair ]

\qquad \tt \rightarrow \: m \overbrace{DB}  + 90 \degree  = 180 \degree

\qquad \tt \rightarrow \: m \overbrace{DB}    =  180 \degree    - 90 \degree

\qquad \tt \rightarrow \: m \overbrace{DB}    =   90 \degree

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