Quiz-Tree

Fractions and Decimals

How do you turn a fraction like 3/4 into a decimal? Converting fractions to decimals shows up everywhere in money, measurement, and science, and these quizzes take you from simple halves to detailed thousandths.

Converting Fractions to Decimals

Each quiz asks you to rewrite fractions and mixed numbers as decimals, starting with familiar values like 1/2 and 3/4 and moving through tenths, hundredths, and thousandths. You will handle prompts such as 7/10, 46/100, and 103/1000, plus mixed numbers like 2 1/8.

These sets run from beginner to intermediate. The denominators are chosen to highlight patterns, so once you see how a bottom number lines up with the decimal places, the conversions start to feel automatic rather than like guesswork. The mixed numbers simply add a whole-number part in front of the decimal, so they are less intimidating than they look.

Did You Know?

Some fractions read themselves as decimals. Because 7/10 already has a denominator of 10, it becomes 0.7 with no long division at all, and a denominator of 100 maps straight onto the second decimal place.

The eighths are the surprise. A tidy-looking fraction like 1/8 does not give a short decimal; it stretches out to three places as 0.125, which is worth remembering before you start dividing.

How the Quizzes Work

Each quiz is short, about five minutes, and you can repeat any of the 5 sets until the conversions come naturally. Noticing the link between the denominator and the place value is the shortcut that speeds everything up, and these conversions come up constantly in money, measurement, and science work. From tenths that read themselves to thousandths that stretch out three places, the sets cover the full range you will meet. Ready to switch between fractions and decimals? Browse the free interactive math quizzes and start converting.

1. Fractions to Decimals 1

Here you'll turn 20 fractions and mixed numbers into decimals, which is one of those skills that shows up constantly in money, measurement, and science. Expect prompts like converting 1/2 or 3/4 into their decimal form, plus a few mixed numbers thrown in to keep things interesting. The eighths are where it gets fun. A fraction like 1/8 doesn't give you a tidy one or two digit decimal; it stretches out to three places instead. Noticing that pattern helps you predict your answers before you even start dividing. Recommended level: beginner.

score: 85% (everyone)

2. Fractions to Decimals 2

This quiz keeps you converting, with 20 more fractions and mixed numbers to write as decimals. You'll handle prompts such as 2 1/8 and 3/10, moving from fraction notation into the decimal version that you'd actually punch into a calculator. Tenths are the easy win in this set because the denominator already lines up with how decimals are built. A fraction like 7/10 practically reads itself as a decimal, no long division required. Once you trust that shortcut, the mixed numbers feel a lot less scary. Recommended level: beginner.

score: 95% (everyone)

3. Fractions to Decimals 3

Twenty conversions are on deck here, and this set leans into tenths and hundredths. You'll see prompts like 23/10 and 46/100, where your job is to rewrite each fraction as its decimal equivalent and line up the digits in the right places. Hundredths are worth slowing down for. The denominator 100 lines up neatly with the second decimal place, so a fraction over 100 quietly tells you exactly how many hundredths you're dealing with. Once you catch that link, the conversions stop feeling like guesswork and start feeling automatic. Recommended level: beginner to intermediate.

score: 93% (everyone)

4. Fractions to Decimals 4

This set runs 20 fractions, stepping up from hundredths into thousandths. Among the prompts you'll convert are 215/100 and 103/1000, each one rewritten as a decimal with the digits sitting in their proper spots after the point. Thousandths are the part to watch. A denominator of 1000 pushes you out to the third decimal place, so even a small numerator like 1/1000 needs those extra zeros to land correctly. Getting comfortable with place value here pays off later in science and measurement work. Recommended level: intermediate.

score: 100% (everyone)

5. Fractions to Decimals 5

At 23 questions, this is the longest conversion set, and it's all about thousandths. You'll rewrite fractions like 912/1000 and 2326/1000 as decimals, which means paying close attention to where each digit belongs once you cross the decimal point. Bigger numerators are the interesting twist here. When the top number is larger than the bottom, your decimal climbs past 1, so a fraction like 2022/1000 gives you a whole number plus a decimal tail. Keeping track of that jump is the main skill this set builds. Recommended level: intermediate.

score: 100% (everyone)