7.1.8 Step 6: How Much Matting is Left?

The original question asked how much the matting is reduced by. Using the sketch above, we can see the shaded area shows the matting after it has been cut to your specifications. You have already used your skills on adding fractions, from Section 6.2, to calculate the dimensions of the matting you need.

You can now use the skills on subtracting fractions, also from Section 6.2, to calculate how much of the matting is left.

Activity symbol Activity: What Do You Cut Away from the Matting and Discard?

If there are enough scraps left over, then you might find another arts and crafts project to do with them. Let's try to figure out how much of the matting is left over. Don’t worry, there won't be any more crafts today!

How much will be cut off from the bottom of the matting?

Hint symbol

Comment

We know the original and final dimensions of the matting. The width of the original matting was inches and its length was inches; the width of matting we require is inches and the length we require is inches. What operation could we use now to determine how much was trimmed away from the bottom edge of the matting? Think subtraction!

Activity symbol Activity: What Do You Cut Away from the Bottom of the Matting?

Solution symbol

Answer

The original width of the matting was inches and we need the width to be inches. So we need to cut off a piece from the bottom that is minus inches wide. Here is the calculation:

minus equals equation left hand side 18 plus three divided by four minus 15 minus seven divided by 10 equals right hand side 18 minus 15 postfix plus equation sequence three divided by four minus seven divided by 10 equals three plus three divided by four minus seven divided by 10 equals three plus 15 divided by 20 minus 14 divided by 20 equals three plus one divided by 20 equals

So, you trim inches from the bottom of the matting.

You could also find the solution using the calculator.

Calculator symbol The calculator can be accessed on the left-hand side bar under Toolkit.

Activity symbolActivity: What Do You Cut Away from the Side of the Matting?

Solution symbol

Answer

The original length of the matting was inches and we need the length to be inches. So we need to cut off a piece from the bottom that is minus inches wide.

Here is the calculation: equation sequence open 30 plus four divided by five close minus open 27 plus 13 divided by 15 close equals

Checking with the calculator:

So, you trim inches from the right side of the matting.

There is quite a bit left over, so be sure to place the leftovers in your scrapbooking pile!

You have done a lot of math in this section, so now is probably time for a break before we cut out the middle of the matting for the photo.

7.1.7 Step 5: Cutting the Matting

7.2 Cutting the Rectangular Hole for the Photograph