Question

write this as mixed numbers in their lowest term
a) 2.624

Answer 1

Answer:

mixed number

Step-by-step explanation:

Step-by-Step Solution

2.624 = 328

125

= 278

125

as a fraction

To convert the decimal 2.624 to a fraction, just follow these steps:

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

2.624 = 2.624

1

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

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

2.624

1

= (2.624 × 1000)

(1 × 1000)

= 2624

1000

.

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(2624,1000) = 8. So,

(2624÷8)

(1000÷8)

= 328

125

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 2624

1000

is also equal to 278

125

when expressed as a mixed number.