Chapter 4 Summary and Review 405To write a mixed number in decimal form,we need
only find the decimal equivalent for the fractional
part of the mixed number. The whole-number part
in the decimal form is the same as the whole-
number part in the mixed-number form.
Whole-number partWrite the fraction as a decimal.4
7
8
4.875bA number line can be used to show the
relationship between fractions and decimals.
Graph 3.125, , , on a number line.− 5 − 4 − 3 − 2 −10 12 34 5–4 –1.09 0.6(^5) –
7 3.125
457 0.6 1.09
To compare the size of a fraction and a decimal,it
is helpful to write the fraction in its equivalent
decimal form.
Place an , , or an symbol in the box to make a true statement:
0.07To write as a decimal, divide 50 by 3:.
Since 0.06 is less than 0.07, we have: 503 0.07.3
50 0.063
503
50
To evaluate expressions that can contain both
fractions and decimals,we can work in terms of
decimals or in terms of fractions.
Evaluate:
If we work in terms of fractions, we have:Write 0.31 in fraction form.The LCD is 300. Build each fraction
by multiplying by a form of 1.
Multiply the numerators.
Multiply the denominators.
Add the numerators and write the
sum over the common denominator
300.
If we work in terms of decimals, we have:Approximate with the decimal 0.17.0.48 Do the addition.1(^6)
1
6
0.310.170.31
143
300
50
300
93
300
1
6
50
50
31
100
3
3
1
6
0.31
1
6
31
100
1
6 0.31We can use the five-step problem-solving strategy
to solve application problems that involve
fractions and decimals.
See Example 13 on page 381 to review how to solve application
problems involving fractions and decimals.REVIEW EXERCISES
Write each fraction or mixed number as a decimal. Use an
overbar when necessary.
26
45
3
7
125
4
3
6
11
3
50
9
16
2
5
7
8
Write each fraction as a decimal. Round to the nearest
hundredth.Place an ,,or an symbol in the box to make a true
statement.- 0.499 98.
- Write the numbers in order from smallest to largest:
(^1033) , , 0.30.3
0.26
4
15
13
25
31
30
19
33