/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 6 Write as a mixed number. $$ ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 6

Write as a mixed number. $$ 3.14 $$

Short Answer

Expert verified
3.14 is written as \( 3\frac{7}{50} \) in mixed number form.

Step by step solution

01

Identify the Whole Number

The first step is to identify the whole number part of the decimal number. In the decimal number 3.14, the digit before the decimal point is the whole number. Thus, the whole number is 3.
02

Convert the Decimal to a Fraction

Next, you need to convert the decimal part into a fraction. The decimal .14 can be written as \( \frac{14}{100} \) because there are two digits after the decimal point, making it a fraction over 100.
03

Simplify the Fraction

Now simplify the fraction \( \frac{14}{100} \). Both the numerator and the denominator can be divided by their greatest common divisor, which is 2. Thus, \( \frac{14}{100} \) simplifies to \( \frac{7}{50} \).
04

Combine as a Mixed Number

Finally, combine the whole number part and the simplified fraction to form a mixed number. Hence, 3.14 as a mixed number is \( 3\frac{7}{50} \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal to Fraction Conversion
Converting a decimal into a fraction is a fundamental skill in mathematics that allows us to express numbers in a different way. Let's explore how to transform decimals to fractions. Each digit behind a decimal point contributes to the denominator.
For example, in the decimal 0.14, there are two digits. That's why the fraction is over 100. Here's why:
  • The first digit after the decimal (1 in 0.14) is in the tenths place.
  • The second digit (4 in 0.14) is in the hundredths place.
Putting these together, 0.14 means 14 hundredths.
This is written as the fraction \( \frac{14}{100} \). This fractional representation helps in further mathematical operations.
Simplifying Fractions
Once you have a fraction, simplifying it makes computations more manageable and results often clearer. Simplifying a fraction involves reducing it to its smallest possible form. To do this, divide both the numerator and the denominator by their greatest common divisor (GCD).
For instance, the fraction \( \frac{14}{100} \) can be simplified:
  • Find the GCD of 14 and 100, which is 2.
  • Divide both the numerator and the denominator by 2.
This gives us the simplified fraction \( \frac{7}{50} \). Simplification makes the fraction easier to understand and work with.
Mathematics Education
Understanding the conversion of decimals to fractions and simplifying them is crucial in mathematics education. It builds foundational skills for students, supporting more complex topics in math.
Teaching these concepts should include:
  • Clear, step-by-step instructions, as practiced in the exercise.
  • Visual aids, like fraction bars or decimal grids, to help students visualize the process.
  • Regular practice problems to reinforce these skills.
Developing a strong grasp of decimals and fractions enables students to tackle a variety of mathematical challenges, enhancing their problem-solving abilities.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What is \(20 \%\) of zero?

Simplify. $$ 12+(-7) $$

Determine whether the following real numbers are integers, rational, or irrational. $$ 1.33 $$

What is \(150 \%\) of \(100 ?\)

Add or subtract and reduce to lowest terms. $$ 318-124 $$
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.