Working with fractions

 $\frac{2}{3}\ is\ an\ equivalent\ fraction\ to\ \frac{8}{12}$  

• False, because 2+6=8, but 3+6=9 not 12 and I need to add the same number to the numerator and denominator get a fraction with the same value

• True, because 8 is smaller than 12

• False, because 8 does not divide by three

• True, because 2x4=8 and 3x4=12, and I need to times/multiply the same number to the numerator and denominator to get a fraction with the same value

Which fraction is bigger  $\frac{5}{9}\ or\ \frac{8}{15}$  

•  $\frac{5}{9}$  because 9-5=4 and 15-8=7 and 4 is less than 7

•  $\frac{8}{15}$  because 8 is bigger than 5

•  $\frac{5}{9}$  because it is equivalent to  $\frac{5+15}{9+15}=\frac{20}{24}$ and  $\frac{8}{15}=\frac{8+9}{15+9}=\frac{17}{24}$   

•  $\frac{5}{9}$  because  $\frac{5}{9}=\frac{5\times5}{9\times5}=\frac{25}{45}$  and  $\frac{8}{15}=\frac{8\times3}{15\times3}=\frac{24}{45}$  

To calculate  $\frac{7}{25}$  of $175 I have to calculate

•  $\frac{175+7}{25}=\frac{182}{25}$  

•  $\frac{175-7}{25}=\frac{167}{25}$  

•  $175\times\frac{7}{25}=\frac{175\times7}{25}=\frac{7\times25\times7}{25}=7\times7=49$  

•  $\frac{25}{7\times175}=\frac{1}{49}$  

 $\frac{2}{7}+\frac{2}{3}=$  

•  $\frac{2+2}{7+3}=\frac{4}{10}$  

•  $\frac{2\times3}{7\times3}+\frac{2\times7}{3\times7}=\frac{20}{21}$  

•  $\frac{2\times2}{7\times3}=\frac{4}{21}$  

•  $\frac{2+3}{7+3}+\frac{2+7}{3+7}=\frac{15}{10}=\frac{3}{2}$  

 $\frac{5}{6}-\frac{5}{8}=$  

•  $\frac{5-5}{6-8}=\frac{0}{-2}=0$  

•  $\frac{5-8}{6-8}-\frac{5-6}{6-8}=\frac{3--1}{-2}=\frac{4}{-2}=-2$  

•  $\frac{5\times8}{6\times8}-\frac{5\times6}{8\times6}=\frac{40-30}{48}=\frac{10}{48}=\frac{5}{24}$  

 $\frac{2}{9}+\frac{3}{4}=$  

•  $\frac{5}{13}$  

•  $\frac{6}{36}$  

•  $\frac{20}{36}$  

•  $\frac{35}{36}$  

 $\frac{4}{6}-\frac{3}{5}=$  

•  $\frac{1}{1}=1$  

•  $\frac{2}{30}=\frac{1}{15}$  

•  $\frac{1}{30}$  

•  $\frac{1}{11}$  

 $\frac{1}{7}\times\frac{1}{3}=$  

•  $\frac{2}{21}$  

•  $\frac{1}{21}$  

•  $\frac{2}{10}$  

•  $\frac{11}{73}$  

 $\frac{3}{5}\times\frac{4}{7}=$  

•  $\frac{21}{20}$  

•  $\frac{20}{21}$  

•  $\frac{7}{12}$  

•  $\frac{12}{35}$  

 $\frac{1}{6}\div\frac{1}{3}=$  

•  $\frac{2}{9}$  

•  $\frac{3}{6}$  

•  $\frac{1}{9}$  

•  $\frac{1}{3}$