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Ksenya-84 [330]
2 years ago
14

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}  \:  \: }}}

<u>Answer</u><u>:</u><u> </u><u>B</u>

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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