Compute 2 - 3/5 and write the answer as a mixed number.

12/5. Write the whole number 2 as 10/5. Then 10/5 - 3/5 = 7/5, and 7 ÷ 5 = 1 remainder 2, so the answer is 12/5. Writing 13/5 keeps the 3/5 that was taken AWAY instead of what is left.

Compute $2 - \frac{3}{5}$ and write the answer as a mixed number.

Class 6FractionsFractions

A $2 \frac{3}{5}$
B $1 \frac{3}{5}$
C $\frac{2}{5}$
D $1 \frac{2}{5}$

Step-by-Step Solution

Write the whole number 2 as

\frac{10}{5}

. Then

\frac{10}{5} - \frac{3}{5} = \frac{7}{5}

, and 7 ÷ 5 = 1 remainder 2, so the answer is

1 \frac{2}{5}

. Writing

1 \frac{3}{5}

keeps the

\frac{3}{5}

that was taken AWAY instead of what is left.

Answer: D)

1 \frac{2}{5}

Key idea: Mixed numbers and improper fractions

An improper fraction like 11/4 can be rewritten as a mixed number. Divide 11 by 4: 11 ÷ 4 = 2 remainder 3. So 11/4 = 2 + 3/4 = 2 3/4. Going the other way: 2

3/4 = (2 \times 4 + 3) /4 = 11/4

. Both forms name the same number — you choose the one that's easier for the situation. For arithmetic, improper fractions are usually friendlier; for everyday speech, mixed numbers are.

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Step-by-Step Solution

Key idea: Mixed numbers and improper fractions

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More Class 6 Fractions practice

Compute $2 - \frac{3}{5}$ and write the answer as a mixed number.