/*! 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 389 Simplify. $$ \frac{-\frac{4}... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 389

Simplify. $$ \frac{-\frac{4}{5}}{2} $$

Short Answer

Expert verified
\(\frac{-2}{5}\)

Step by step solution

01

Write the Nested Fraction

Identify the nested fraction: \(\frac{-\frac{4}{5}}{2}\).
02

Apply the Division Rule for Fractions

Rewrite the nested fraction by multiplying the numerator by the reciprocal of the denominator: \(\frac{-4}{5} \times \frac{1}{2}\).
03

Simplify the Multiplication

Multiply the numerators and the denominators: \(\frac{-4 \times 1}{5 \times 2} = \frac{-4}{10}\).
04

Reduce the Fraction

Simplify \(\frac{-4}{10}\) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2: \(\frac{-4 \div 2}{10 \div 2} = \frac{-2}{5}\).

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.

Nested Fractions
Nested fractions appear when you have a fraction within another fraction. In other words, the fraction acts as either the numerator or the denominator, or both. For example, in the problem \(\frac{-\frac{4}{5}}{2}\), the fraction \(-\frac{4}{5}\) is nested within the larger fraction. Understanding how to deal with these kinds of fractions involves simplifying step by step. First, identify the smaller fraction (\

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

Convert the units. Faye is 4 feet 10 inches tall. Convert her height to inches.

Simplify using the distributive property. $$ 9\left(\frac{5}{9} y-\frac{1}{3}\right) $$

Simplify using the distributive property. $$ 10\left(\frac{3}{10} x-\frac{2}{5}\right) $$

Make the unit conversions. Round to the nearest tenth. Bill is 75 inches tall. Convert his height to centimeters.

Convert the units. Carson is 45 inches tall. Convert his height to feet.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.