A Familiar Fraction Equivalent
The reduced form 11/8 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Decimal in the thousandths place
1.375 in Words
1.375 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.375 in words is one point three seven five.
1.375 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 7 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.375?
1.375 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.375
1.375 = 1 + 3/10 + 7/100 + 5/1000
1.375 = 1 + 375/1000
1.375 = 1 3/8
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.375 Simplifies to 11/8
1.375 = 1375/1000
The greatest common divisor of 1375 and 1000 is 125.
1375 ÷ 125 = 11
1000 ÷ 125 = 8
Therefore, 1375/1000 = 11/8.
As a mixed fraction, the value is 1 3/8.
1.375 as a Percentage
To convert 1.375 to a percentage, multiply it by 100.
1.375 × 100 = 137.5
Therefore, 1.375 = 137.5%.
Decimals Equivalent to 1.375
1.375 = 1.3750 = 1.37500
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 |
|---|---|---|---|
| 1.375 | thousandths | 1375/1000 | 11/8 |
| 1.3750 | ten-thousandths | 13750/10000 | 11/8 |
| 1.37500 | hundred-thousandths | 137500/100000 | 11/8 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 375/1000. In place-value words, "and" marks that boundary.
1.375 on a Number Line
1.375 lies between 1 and 2. It is 0.625 below 2 and 0.375 above 1.
11.3752
1.375 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1375 | zero point one three seven five | one thousand three hundred seventy-five ten-thousandths | 11/80 | 13.75% | ten times smaller than 1.375 |
| 1.375 | one point three seven five | one and three hundred seventy-five thousandths | 11/8 | 137.5% | current value |
| 1.3750 | one point three seven five zero | one and three thousand seven hundred fifty ten-thousandths | 11/8 | 137.5% | same numerical value, written to the ten-thousandths place |
| 13.75 | thirteen point seven five | thirteen and seventy-five hundredths | 55/4 | 1375% | ten times larger than 1.375 |
Quick Practice
How is 1.375 read digit by digit?
One point three seven five.
What is the place-value word form of 1.375?
One and three hundred seventy-five thousandths.
What fraction is 1.375 in lowest terms?
11/8.
What percentage is equal to 1.375?
137.5%.
What is 1.375 as a mixed fraction?
1 3/8.
Between which whole numbers does 1.375 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.375 in words?
1.375 in words is one point three seven five.
Why is 1.375 called one and three hundred seventy-five thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.375 represents one and three hundred seventy-five thousandths.
What fraction is 1.375?
1.375 is 1375/1000 exactly and 11/8 in lowest terms.
Can 1375/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 11/8.
What percentage is 1.375?
1.375 is equal to 137.5%.
Is 1.375 the same as 1.3750?
Yes. 1.375 and 1.3750 have the same numerical value. However, 1.375 is written to the thousandths place, while 1.3750 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.375 larger than 0.1375?
Yes. 1.375 is ten times as large as 0.1375.
What type of decimal is 1.375?
1.375 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred seventy-five thousandths.