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kirill [66]
3 years ago
8

Without doing the math, determine which is greater, 40. 1/4 or 40÷ 1/4. Explain your reasoning.

Mathematics
2 answers:
nevsk [136]3 years ago
8 0

When you divide by a fraction, in this case 40 divided by 1 over 4, you multiply by the reciprocal of what you're dividing by, so:

\frac{40}{1} ÷ \frac{1}{4}

turns into...

\frac{40}{1} · \frac{4}{1}, or 40 * 4, which equals 160.

With this knowledge, whenever given a set of numbers like you were given, we know that 40 ÷ \frac{1}{4} must be the larger, and 40 · \frac{1}{4} must be the smaller.

Therefore, 40 ÷ \frac{1}{4} is the greater number.

<em>Hope this helps! :)</em>

maw [93]3 years ago
4 0

40 ÷ \frac{1}{4} is greater

multiplying a whole number by a fraction  reduces the size of the whole number

dividing a whole number by a fraction increases the size of the number


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