What is the quotient of 2/5 divided by 3/7A. 15/14B. 14/15C. 35/6D. 6/36

Mathematics

2 answers:

STALIN [3.7K]2 years ago

8 0

Answer:

$= { \tt{ \frac{2}{5} \div \frac{3}{7} }} \\ \\ = { \tt{ \frac{2}{5} \times \frac{7}{3} }} \\ \\ = { \underline{ \tt{ \: \: \frac{14}{15} \: \: }}}$

Answer: B

Scorpion4ik [409]2 years ago

4 0

2/5 ÷ 3/7

= 2/5 × 7/3

= 2 × 7/5 × 3

= 14/15

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/7 is 7/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.

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Both functions are shown in the attached graph. Both are linear functions with a y-intercept of 3. Both have a domain of all real numbers.

Function A has a positive slope, so has a range of all real numbers.

Function B has a zero slope, so its range is the single number y = 3.