12 which equations are true? choose all the correct answers. a $3\\frac{3}{12}-2\\frac{2}{12}=1\\frac{1}{12}$…

12 which equations are true? choose all the correct answers. a $3\\frac{3}{12}-2\\frac{2}{12}=1\\frac{1}{12}$ b $6\\frac{5}{8}-2\\frac{1}{8}=4\\frac{4}{8}$ c $6\\frac{2}{5}+3\\frac{1}{5}=9\\frac{3}{10}$ d $1\\frac{30}{100}+2\\frac{16}{100}=3\\frac{46}{100}$ e $4\\frac{3}{6}-2\\frac{2}{6}=2\\frac{5}{6}$

12 which equations are true? choose all the correct answers. a $3\\frac{3}{12}-2\\frac{2}{12}=1\\frac{1}{12}$ b $6\\frac{5}{8}-2\\frac{1}{8}=4\\frac{4}{8}$ c $6\\frac{2}{5}+3\\frac{1}{5}=9\\frac{3}{10}$ d $1\\frac{30}{100}+2\\frac{16}{100}=3\\frac{46}{100}$ e $4\\frac{3}{6}-2\\frac{2}{6}=2\\frac{5}{6}$

Answer

Explanation:

Step1: Check option A

$3\frac{3}{12}-2\frac{2}{12}=\frac{3\times12 + 3}{12}-\frac{2\times12+2}{12}=\frac{39}{12}-\frac{26}{12}=\frac{39 - 26}{12}=\frac{13}{12}=1\frac{1}{12}$, so option A is true.

Step2: Check option B

$6\frac{5}{8}-2\frac{1}{8}=\frac{6\times8 + 5}{8}-\frac{2\times8+1}{8}=\frac{53}{8}-\frac{17}{8}=\frac{53 - 17}{8}=\frac{36}{8}=4\frac{4}{8}$, so option B is true.

Step3: Check option C

$6\frac{2}{5}+3\frac{1}{5}=\frac{6\times5 + 2}{5}+\frac{3\times5+1}{5}=\frac{32}{5}+\frac{16}{5}=\frac{32 + 16}{5}=\frac{48}{5}=9\frac{3}{5}\neq9\frac{3}{10}$, so option C is false.

Step4: Check option D

$1\frac{30}{100}+2\frac{16}{100}=\frac{1\times100 + 30}{100}+\frac{2\times100+16}{100}=\frac{130}{100}+\frac{216}{100}=\frac{130 + 216}{100}=\frac{346}{100}=3\frac{46}{100}$, so option D is true.

Step5: Check option E

$4\frac{3}{6}-2\frac{2}{6}=\frac{4\times6 + 3}{6}-\frac{2\times6+2}{6}=\frac{27}{6}-\frac{14}{6}=\frac{27 - 14}{6}=\frac{13}{6}=2\frac{1}{6}\neq2\frac{5}{6}$, so option E is false.

Answer:

A. $3\frac{3}{12}-2\frac{2}{12}=1\frac{1}{12}$ B. $6\frac{5}{8}-2\frac{1}{8}=4\frac{4}{8}$ D. $1\frac{30}{100}+2\frac{16}{100}=3\frac{46}{100}$