Question

$2\frac{3}{4}+1\frac{4}{5}$ = ____

• A. $\frac{455}{100}$
• B. $\frac{475}{100}$
• C. $\frac{445}{100}$
• D. $\frac{485}{100}$

Answer 1

The correct option is A

$\frac{455}{100}$

$2\frac{3}{4}+1\frac{4}{5}$

Converting into improper fraction

$\frac{11}{4}+\frac{9}{5}$

Since 4 & 5 are coprime numbers,the LCM is 20

$\therefore \frac{11\times 5}{4\times 5}+\frac{9\times 4}{5\times 4}=\frac{55+36}{20}=\frac{91}{20}$

Multiply numerator and denominator by 5; to make denominator as power of 10

=$\frac{91\times 5}{20\times 5}=\frac{455}{100}$