Question

Write as fractions in lowest terms:

a) 7.36

b) 0.635​

Answer 1

Answer:

A. Step-by-Step Solution

7.36 = 184

25

= 79

25

as a fraction

To convert the decimal 7.36 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

7.36 = 7.36

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

7.36

1

= (7.36 × 100)

(1 × 100)

= 736

100

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(736,100) = 4. So,

(736÷4)

(100÷4)

= 184

25

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 736

100

is also equal to 79

25

when expressed as a mixed number.

B. 0.60 = 0 + 6/10

⇒ 6/10 = 3/5