Answered

IDNLearn.com makes it easy to find accurate answers to your questions. Join our interactive Q&A community and get reliable, detailed answers from experienced professionals across a variety of topics.

Find the missing values in the equation below.
Line 1: 2/3 - 1/2 = 4/?-?/6
Line 2: / - / = ?/6

Sagot :

MrRoyalidn

Answer:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]

[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]

[tex]/ - / = \frac{?}{6}[/tex]

Required

Fill in the gaps

For Line 1, convert both fraction to a denominator of 6.

This is shown below:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]

[tex]\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}[/tex]

[tex]\frac{2*2}{2*3} - \frac{1*3}{2*3}[/tex]

[tex]\frac{4}{6} - \frac{3}{6}[/tex]

Hence:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]

For Line 2;

We have:

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]

[tex]\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}[/tex]

[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.