How to Convert Fractions to Decimals Using Long Division

The Organic Chemistry Tutor

This instructional math video provides a step-by-step tutorial on converting fractions into decimals using the long division method. The narrator demonstrates three distinct examples ranging in difficulty: a simple conversion (1/5), a standard conversion (1/4), and a more complex conversion involving multiple decimal places (5/8). For each problem, the video explicitly models how to set up the division bracket, emphasizing the critical rule of placing the numerator inside the bracket (as the dividend) and the denominator outside (as the divisor). The video explores key mathematical themes including the relationship between fractions and division, place value, and the concept of remainders. A significant portion of the instruction focuses on procedural fluency strategies, such as adding a decimal point and zeros to the dividend to continue dividing when the divisor is larger than the dividend. The video also introduces a helpful scaffolding strategy where the narrator lists the multiples of the divisor on the side of the screen to assist with estimation during the division process. For educators, this video serves as an excellent direct instruction tool or remediation resource for students struggling with the algorithm of long division. The visual layout, which uses a high-contrast black background with clear white handwriting, minimizes distractions and focuses attention on the procedural steps. The explicit modeling of writing out multiples (multiplication tables) on the side is particularly valuable for students who may struggle with mental math, offering them a concrete strategy to improve accuracy.