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Convert 40/7 to a mixed number.

Understand the Problem

The question is asking to convert the improper fraction 40/7 into a mixed number. To do this, we need to divide 40 by 7 to find the whole number part and then express the remainder as a fraction.

Answer

The mixed number for $ \frac{40}{7} $ is $ 5 \frac{5}{7} $.
Answer for screen readers

The mixed number for the improper fraction $ \frac{40}{7} $ is $ 5 \frac{5}{7} $.

Steps to Solve

  1. Divide the Numerator by the Denominator

To convert the improper fraction $ \frac{40}{7} $ into a mixed number, we start by dividing the numerator (40) by the denominator (7).

$$ 40 \div 7 = 5 \quad \text{with a remainder of} \quad 40 - (7 \times 5) = 5 $$

So, the whole number part is 5.

  1. Identify the Remainder

The remainder from the previous division is 5. This remainder will be expressed as the numerator of the fractional part of the mixed number.

  1. Form the Mixed Number

Now, we can write the mixed number as:

$$ 5 \frac{5}{7} $$

The whole number part is 5, and the fractional part is $ \frac{5}{7} $.

The mixed number for the improper fraction $ \frac{40}{7} $ is $ 5 \frac{5}{7} $.

More Information

A mixed number consists of a whole number and a proper fraction. In this case, the improper fraction $ \frac{40}{7} $ can be visualized as 5 whole parts and an additional $ \frac{5}{7} $.

Tips

  • Forgetting to include the remainder as part of the fractional component in the mixed number.
  • Confusing how to convert the remainder into a fraction (it should always be the remainder over the original denominator).
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