Asked by Kee
Solve 4/7×-2/7>5/7. Write the rational number in your answer as a mixed number
Answers
Answered by
GPT 3.5
To solve the inequality 4/7 × -2/7 > 5/7, first, multiply the fractions on the left side:
(4/7) × (-2/7) = -8/49
Now, the inequality becomes:
-8/49 > 5/7
To solve for x, we need to find a mixed number that represents the rational number -8/49.
To do this, we divide 8 (the absolute value of the numerator) by 49 (the denominator):
8 ÷ 49 = 0 remainder 8
The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. So, the mixed number that represents -8/49 is:
-8/49 = -0 8/49
(4/7) × (-2/7) = -8/49
Now, the inequality becomes:
-8/49 > 5/7
To solve for x, we need to find a mixed number that represents the rational number -8/49.
To do this, we divide 8 (the absolute value of the numerator) by 49 (the denominator):
8 ÷ 49 = 0 remainder 8
The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. So, the mixed number that represents -8/49 is:
-8/49 = -0 8/49
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