Subtraction of Mixed Numbers

MathematicsFractionsEasy

Published:

$$2 \frac{3}{8} - 1 \frac{5}{6}$$

This question includes visual content: The image shows a vertical subtraction problem involving two mixed numbers. The top number is written as '2' followed by the fraction '3/8'. Below it, there is a minus sign followed by '1' and the fraction '5/6'. A horizontal line is drawn underneath to indicate the place for the result.

Animated Video Solution

The first half plays free, the full solution is in the app.

Step by Step Written Solution

1
Step 1

Hi Illianna, let's solve this subtraction problem involving mixed numbers together.

Subtraction of Mixed Numbers

2
Step 2

We are calculating two and three eighths minus one and five sixths. To subtract these, we first need a common denominator for the fractions.

$$2 \frac{3}{8} - 1 \frac{5}{6} = ?$$
3
Step 3

Let's find the least common multiple of eight and six. Multiples of eight are eight, sixteen, twenty four, and so on. Twenty four is also a multiple of six, so that will be our least common denominator.


Step 1: Find a Common Denominator

$$LCD(8, 6) = 24$$
4
Step 4

Now, let's convert the fractions. To get twenty four from eight, we multiply by three, so three eighths becomes nine twenty-fourths. To get twenty four from six, we multiply by four, so five sixths becomes twenty twenty-fourths.

$$2 \frac{3}{8} = 2 \frac{3 \times 3}{8 \times 3} = 2 \frac{9}{24}$$
$$1 \frac{5}{6} = 1 \frac{5 \times 4}{6 \times 4} = 1 \frac{20}{24}$$
5
Step 5

Our problem is now two and nine twenty-fourths minus one and twenty twenty-fourths. Notice that nine is smaller than twenty, so we'll need to borrow from the whole number.

$$2 \frac{9}{24} - 1 \frac{20}{24} = ?$$

The rest of this solution is on Solvi

4 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Download on the App Store Get it on Google Play

Free to download · First solutions are on us

100K+Questions solved daily
50K+Students learning
4.8 ★App Store rating

About This Question

Subject
Mathematics
Topic
Fractions
Difficulty
Easy
Question Type
Open Ended

Solve any question in seconds

Snap a photo and AI explains it step by step with voice and animation.

Download on the App Store Get it on Google Play
Solvi
The full solution is in the appFree to download · First solutions are on us
Get