How do you divide #2\frac { 5} { 7} \div \frac { 3} { 2}#?

Answer 1

#2 5/7-:3/2=color(blue)(38/21=1 17/21#

Divide:

#2 5/7-:3/2#
First convert #2 5/7# to an improper fraction. Multiply the denominator by the whole number and then add the numerator. Place this over the denominator #7#.
#2 5/7=((7xx2+5))/7#
#2 5/7=19/7#

Rewrite the expression.

#19/7-:3/2#

When dividing by a fraction, invert it and multiply.

#19/7xx2/3#

Multiply the numerators and denominators across.

#(19xx2)/(7xx3)#

Simplify.

#38/21#
#38/21# can be converted to a mixed number.
Using long division, divide #38# by #21# to get the whole number quotient with a remainder. The whole number quotient becomes the whole number of the mixed number, the remainder becomes the numerator, and the divisor #21# is the denominator.
#38-:21="1 remainder 17"#
#38/21=1 17/21#
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Answer 2

#38/21#

First, change the mixed number into an improper fraction.

For #2 5/7#, that's
#((7*2) +5)/7 = 19/7#
Then you flip the second fraction and add a #xx# sign, so
#19/7 xx 2/3#

Multiply the top and bottom numbers

#38/21#

Hope this helps!

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Answer 3

To divide the mixed number 2 5/7 by the fraction 3/2, first convert the mixed number to an improper fraction.

2 5/7 = (2 * 7 + 5)/7 = 19/7

Then, divide the numerator of the first fraction by the numerator of the second fraction, and divide the denominator of the first fraction by the denominator of the second fraction.

(19/7) ÷ (3/2) = (19/7) * (2/3) = (19 * 2) / (7 * 3) = 38/21

So, 2 5/7 ÷ 3/2 equals 38/21.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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