Fractions to Decimals Worksheet

Fraction-to-decimal conversion is one of those skills that looks mastered on a drill sheet and then falls apart the moment it shows up somewhere unexpected, like a paycheck stub or a receipt. This worksheet closes that gap by running every conversion through a tax scenario instead of a bare number line.

The opening table asks students to take five short statements — some about a single receipt, some about national tax statistics — and convert each one into a fraction, a decimal rounded to the nearest thousandth, and a percent. Moving between all three forms in one pass forces students to actually understand the relationship between them, rather than memorizing one conversion direction. A statement like "7 out of 20 students had income tax withheld" only becomes useful once a student can flip it into 0.35 and 35% without hesitating.

The questions that follow raise the difficulty in small steps: converting a percent into a fraction, converting a fraction into a percent rounded to the nearest tenth, working with numbers that don't divide cleanly, and — in the final question — comparing a percent and a decimal-per-dollar figure to determine which represents a larger share. That last question is really a fraction-to-decimal conversion in disguise, and it's a good check for whether the skill has actually transferred.

This fits naturally into a personal finance or pre-algebra unit on tax literacy, or as a review worksheet before a unit test on rational number conversions. It assumes students already know what a percent is and can perform basic division; it does not require any prior tax knowledge. Below is the worksheet exactly as it appears in Rapunzl's curriculum, ready to assign as-is or adapt for your classroom.

This worksheet comes from Module 13 of Rapunzl's financial literacy curriculum, part of the Financial Algebra unit that connects rational number skills to how taxes actually work.

Fractions, Decimals & Tax Dollars

By examining how much people pay in taxes, this activity teaches students about fractions and decimals and how they are used in real-world financial transactions. By the end of this exercise, students will be able to convert between fractions and decimals and understand their application in financial contexts.

1. Convert each of these into a fraction, a decimal rounded to the nearest thousandth, and a percent.

1. The Tax Policy Center estimates 40% of middle-income households paid no federal income tax for tax year 2022. Write this percent as a fraction.

 

1. 18 out of 26 students in the class have never filed taxes before. Represent this value as a percent rounded to the nearest tenth.

 

1. In 2022 the top 1% of taxpayers (in many cases, people with the highest incomes) paid nearly 26% of the total federal income taxes collected. Write each percent as a fraction.

 

1. 1896 of the 6492 households in your zip code filed their taxes by February 15. By March 15, another 2429 had done so. What percent of households, rounded to the nearest tenth, have not filed by March 15?

 

1. $3.34 out of Annette’s $73 bill at the grocery store was sales tax. Write this as a rational number, remembering that numerator and denominator must be integers.

 

1. Kirsten thinks 24% of federal tax dollars should fund education, and Jackson thinks $0.35 of every tax dollar should go toward education. Who supports more education funding?

Teacher Notes

The opening table is the anchor for the whole worksheet, so it's worth checking in after the first row or two rather than waiting until the end. The most common error is rounding too early — a student who rounds 7/20 to 0.4 before finding the percent will land on 40% instead of 35%. Have students carry the exact fraction or decimal through each conversion and round only at the final step, per the instruction to round to the nearest thousandth.

Question 5 is the most demanding item on the sheet: students have to find a total, subtract it from the whole, and then convert that difference into a percent — three steps stacked into one question. It's a good candidate to work through as a class if time is short, since the arithmetic can bury the conceptual point.

Question 7 is designed to be solved without a calculator producing an obviously "correct" tone — it's a genuine comparison problem, and students should be able to defend their answer by converting both figures into a common form.

This activity is one piece of the full Financial Algebra unit inside the Rapunzl teacher portal, sequenced with guided notes, slides, and additional practice sets on rational number conversions.

Want the rest of the Financial Algebra unit, plus the tools to run it in your classroom? Book a Rapunzl demo and see how students connect math skills to real financial decisions.