Final answer:
To arrange fractions in decreasing order, we compare their values. Converting them to a common denominator helps in comparing the numerators. The fractions -7/6, -7/12, -7/16 arranged in decreasing order are -7/6, -7/12, -7/16.
Step-by-step explanation:
Arranging Fractions in Decreasing Order
To arrange fractions in decreasing order, we need to compare their values. In this case, we have -7/12, -7/6, and -7/16. We can convert them all to a common denominator and then compare their numerators.
Converting to a Common Denominator:
- -7/12 is equivalent to -14/24 when multiplied by 2.
- -7/6 is equivalent to -28/24 when multiplied by 4.
- -7/16 remains the same.
Ordering the Fractions:
- -28/24 (which is -7/6) is the largest.
- -14/24 (which is -7/12) is next largest.
- -7/16 is the smallest.
So, the fractions arranged in decreasing order are -7/6, -7/12, -7/16.
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