Subtracting Fractions and Mixed Numbers

The model shows $$\frac{9}{10}$$ shaded in. Two of the tenths are crossed off, so this model shows the equation $$\frac{9}{10}-\frac{2}{10}=\frac{7}{10}$$

Since we need to take a fraction from a whole number, we change the whole into a fraction, and then we can subtract. $$\frac{9}{9}-\frac{7}{9}=\frac{2}{9}$$

Since we can see one fraction model is filled in entirely we know we have 1 whole and three more parts from the other fraction model. This gives us $$1\frac{3}{4}$$

Since we can see one fraction model is filled in entirely, that means we have 1 whole plus the 3 parts from the other fraction model. This means we have $$1\frac{3}{8}$$

Our whole number is 1. 1 as a fraction in fourths is $$\frac{4}{4}$$ so $$\frac{4}{4}+\frac{1}{4}=\frac{5}{4}$$

Since the first fraction is not big enough to take away the second one, we need to regroup, then we can subtract. $$3\frac{2}{5}-1\frac{4}{5}=2\frac{7}{5}-1\frac{4}{5}=1\frac{3}{5}$$

There is no fraction to take away from in this problem, so we need to make one by regrouping 1 whole.

$$3=2\frac{7}{7}-2\frac{1}{7}=\frac{6}{7}$$

We need to regroup here. $$2\frac{2}{8}$$ becomes $$1\frac{10}{8}$$ so we can subtract the $$\frac{7}{8}$$ that Jerome has already walked. $$1\frac{10}{8}-\frac{7}{8}=1\frac{3}{8}$$