Question #9bc49

2 Answers
Jan 29, 2018

#7/6#

Explanation:

We have: #(7/8)/(3/4)#

When dividing fractions we must apply the following rule:

#(a/b)/(c/d)=a/b*d/c#

So #(7/8)/(3/4)->7/8*4/3=28/24#

We can simplify #28/24# since both numbers are divisible by #4#

#(28divide4)/(24divide4)=7/6#

Jan 29, 2018

# 28/24 = 7/6 = 1 1/6#

Explanation:

The answer can be expressed as a fraction a "reduced" fraction or a mixed number .

A fraction is actually a division problem so a fraction divided by a fraction is a complex fraction. Write the first fraction as the numerator and the second as the denominator of the complex fraction.

# (7/8)/(3/4)#

Now to simply the complex fraction multiple both the numerator and the denominator by the inverse of the bottom (second) fraction. Multiplying by the inverse equals 1 removing the bottom fraction.

# (7/8 xx 4/3)/(3/4 xx 4/3)#

This is the same as multiplying by 1 which does not change the value of the fraction. This gives

# 7/8 xx 4/3# : # 3/4 xx 4/3 = 1#

# 7/8 xx 4/3 = 28/24#

# ( 28/4)/(24/4) = 7/6#

# 7/6 = 1 1/6#