Number DigitDecimal in the hundredths place
48.75 in Words
48.75 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
48.75 in words is forty-eight point seven five.
48.75 Place-Value Breakdown
The digits 4 and 8 form the whole-number part, while 7 in the tenth place and 5 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 8 | ones | 8 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 5 | hundredth | 5/100 |
What Kind of Decimal Is 48.75?
48.75 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 48.75
48.75 = 40 + 8 + 7/10 + 5/100
48.75 = 48 + 75/100
48.75 = 48 3/4
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 48.75 Simplifies to 195/4
48.75 = 4875/100
The greatest common divisor of 4875 and 100 is 25.
4875 ÷ 25 = 195
100 ÷ 25 = 4
Therefore, 4875/100 = 195/4.
As a mixed fraction, the value is 48 3/4.
48.75 as a Percentage
To convert 48.75 to a percentage, multiply it by 100.
48.75 × 100 = 4875
Therefore, 48.75 = 4875%.
Decimals Equivalent to 48.75
48.75 = 48.750 = 48.7500
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 48.75 | hundredths | 4875/100 | 195/4 |
| 48.750 | thousandths | 48750/1000 | 195/4 |
| 48.7500 | ten-thousandths | 487500/10000 | 195/4 |
A Familiar Fraction Equivalent
The reduced form 195/4 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Whole Part and Fractional Part
This mixed decimal combines the whole part 48 with the fractional part 75/100. In place-value words, "and" marks that boundary.
48.75 on a Number Line
48.75 lies between 48 and 49. It is 0.25 below 49 and 0.75 above 48.
48.75 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.875 | four point eight seven five | four and eight hundred seventy-five thousandths | 39/8 | 487.5% | ten times smaller than 48.75 |
| 48.75 | forty-eight point seven five | forty-eight and seventy-five hundredths | 195/4 | 4875% | current value |
| 48.750 | forty-eight point seven five zero | forty-eight and seven hundred fifty thousandths | 195/4 | 4875% | same numerical value, written to the thousandths place |
| 487.5 | four hundred eighty-seven point five | four hundred eighty-seven and five tenths | 975/2 | 48750% | ten times larger than 48.75 |
Quick Practice
How is 48.75 read digit by digit?
Forty-eight point seven five.
What is the place-value word form of 48.75?
Forty-eight and seventy-five hundredths.
What fraction is 48.75 in lowest terms?
195/4.
What percentage is equal to 48.75?
4875%.
What is 48.75 as a mixed fraction?
48 3/4.
Between which whole numbers does 48.75 lie?
Between 48 and 49.
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Frequently Asked Questions
How do you write 48.75 in words?
48.75 in words is forty-eight point seven five.
Why is 48.75 called forty-eight and seventy-five hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as forty-eight and seventy-five hundredths.
What fraction is 48.75?
48.75 is 4875/100 exactly and 195/4 in lowest terms.
Can 4875/100 be simplified?
Yes. Divide its numerator and denominator by 25 to get 195/4.
What percentage is 48.75?
48.75 is equal to 4875%.
Is 48.75 the same as 48.750?
Yes. 48.75 and 48.750 have the same numerical value. However, 48.75 is written to the hundredths place, while 48.750 is written to the thousandths place and may communicate greater recorded precision.
Is 48.75 larger than 4.875?
Yes. 48.75 is ten times as large as 4.875.
What type of decimal is 48.75?
48.75 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents forty-eight and seventy-five hundredths.