Question

Without​ solving, tell which equation below has a greater solution. Explain your reasoning.
seven ninths
vequals3 and one seventh
seven tenths
vequals3 and one seventh
Question content area bottom
Part 1
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is the equation with the greater solution for v. To solve for v​, multiply 3 and one seventh
by the
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of each coefficient. Compare the expressions that are formed.
3 and one seventh times nine sevenths
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3 and one seventh times StartFraction 10 Over 7 EndFraction
Explain your reasoning.is the equation with the greater solution for, multiply FRAC2MNUM(22,7,1) by the3 and one seventh times nine sevenths3 and one seventh times nine sevenths3 and one seventh times StartFraction 10 Over 7 EndFraction

Answer 1

The equation with 7/10 has the greater solution.

Reason: Both equations have the same right-hand side 3 1/7, so
- from (7/9)v = 3 1/7 we get v = (3 1/7) · (9/7),
- from (7/10)v = 3 1/7 we get v = (3 1/7) · (10/7).

Since 10/7 > 9/7, multiplying 3 1/7 by 10/7 gives a larger value than multiplying by 9/7. Equivalently, dividing the same positive number by the smaller coefficient (7/10 < 7/9) yields the larger quotient.