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Chapter 1: A. Basic Shop Math 7
1 1 2 3 3 11 6 11 17
+
2 4
=
2
+
4
= +
4
= 4
= 4 1 4
1 1 2 3 1 3 2 3
+ 3
3
2 4
= +
2
+
4
= + +
4 =
3 + 5
4
= 4 1 4
Multiplying and Dividing Fractions
To multiply fractions:
1. Multiply the numerators to obtain the numerator of the result.
2. Multiply the denominators to obtain the denominator of the result.
3. Simplify the resulting fraction if necessary.
For example,
Part I.A
3
8
× 4 1 12
5
× 3
2
= 80
= 20
.
To divide fractions, we convert the problem into a multiplication problem:
1. Switch the numerator and denominator of the second fraction.
2. Multiply the numerators to obtain the numerator of the result.
3. Multiply the denominators to obtain the denominator of the result.
4. Simplify the resulting fraction if necessary.
For example,
DECIMALS
2
9
÷ 4 2 6
6
= 12 1
9
× 4
= 36
= 3
.
Given a number of the form
ABCDEFG.HIJKLM
we can define the place values for each letter position as shown in Table 1.2.
Decimal and Fraction Equivalents
Decimal and fraction equivalents are shown in Table 1.3.
Converting Fractions to Decimals
Fractions can be converted to decimals by dividing the denominator into the
numerator. For example: