what is the value of $2\\frac{1}{4}-3\\frac{2}{5}$?\na $-1\\frac{3}{20}$\nb $-\\frac{2}{5}$\nc…

what is the value of $2\\frac{1}{4}-3\\frac{2}{5}$?\na $-1\\frac{3}{20}$\nb $-\\frac{2}{5}$\nc $-5\\frac{13}{20}$\nd $-\\frac{7}{9}$

what is the value of $2\\frac{1}{4}-3\\frac{2}{5}$?\na $-1\\frac{3}{20}$\nb $-\\frac{2}{5}$\nc $-5\\frac{13}{20}$\nd $-\\frac{7}{9}$

Answer

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$，$3\frac{2}{5}=\frac{3\times5+2}{5}=\frac{17}{5}$

Step2: Find a common denominator

The common denominator of 4 and 5 is 20. $\frac{9}{4}=\frac{9\times5}{4\times5}=\frac{45}{20}$，$\frac{17}{5}=\frac{17\times4}{5\times4}=\frac{68}{20}$

Step3: Subtract the fractions

$\frac{45}{20}-\frac{68}{20}=\frac{45 - 68}{20}=-\frac{23}{20}$

Step4: Convert back to mixed number

$-\frac{23}{20}=-1\frac{3}{20}$

Answer:

A. $-1\frac{3}{20}$