We included HMH Into Math Grade 3 Answer Key PDF Module 15 Lesson 3 Compare Fractions with the Same Numerator to make students experts in learning maths.
HMH Into Math Grade 3 Module 15 Lesson 3 Answer Key Compare Fractions with the Same Numerator
I Can compare fractions that count the same number of equal parts when the whole is divided into a different number of equal parts.
Spark Your Learning
Nita and Bennet are riding in the Around-the-Park Bike Ride. Nita completes \(\frac{3}{4}\) of the ride. Bennet completes \(\frac{3}{6}\) of the ride. Who rides farther?
Show one way to compare the distances.
Answer:
Explanation:
Nita and Bennet are riding in the Around-the-Park Bike Ride
Nita completes \(\frac{3}{4}\) of the ride
Bennet completes \(\frac{3}{6}\) of the ride.
I shaded the number of parts they rode, compared their rides
Therefore, Nita rides farther than Bennet.
Turn and Talk What is the same about both fractions? How does this help you find out which fraction is greater?
Answer:
The numerator in both the fractions is same. It helped us to find the greater fraction by comparing the denominator. The greater the denominator, the fraction part will decrease.
Build Understanding
Question 1.
Elan and Tanya both plan to film one-minute videos. So far, Elan has filmed \(\frac{2}{6}\) of his video. Tanya has filmed \(\frac{2}{3}\) of her video. Who has filmed less, so far?
A. Show one way to solve the problem.
Answer:
Explanation:
I drew lines, divided and shaded the parts given in the fractions.
B. Write <, >, or = to compare the fractions. \(\frac{2}{6}\) 
\(\frac{2}{3}\).
Answer:
\(\frac{2}{6}\) 
\(\frac{2}{3}\).
C. Who films less of the video? How do you know?
Answer:
Elan films less of the video
Explanation:
\(\frac{2}{6}\) \(\frac{2}{3}\)
By comparing using the above picture, Elan has filmed less.
Question 2.
Rocky hikes \(\frac{5}{6}\) of the PinoTrail. Rini hikes \(\frac{5}{8}\) of the trail. Who hikes a greater distance on the trail?
A. How can you show the distances on the number lines? Which fraction is closer to 1?
Answer:
Explanation:
I plotted the fraction on the number line
Fraction \(\frac{5}{6}\) is closer to 1.
B. Write <, >, or = to compare the fractions. \(\frac{5}{6}\) \(\frac{5}{8}\).
Who hikes farther? __________
Answer:
\(\frac{5}{6}\) 
\(\frac{5}{8}\)
Explanation:
From the number lines we can understand that Rocky hikes the PinoTrail farther.
Turn and Talk How does the number of equal lengths in the whole affect the size of each equal length? How can you use this relationship to compare the fractions in Task 2?
Answer:
The number of equal lengths in whole increases then the size of each equal part reduces.
This relation ship can help to compare and find the greater and lesser fractions.
Step It Out
Question 3.
Aiden climbs \(\frac{2}{9}\) of the way up the rope ladder. Reid climbs \(\frac{2}{5}\) of the way up the same rope ladder. Who climbs higher?
A. How do the numerators compare?
Answer:
Both the numerators are same.
B. How do the denominators compare?
Aiden: The whole is divided into __________ parts.
Reid: The whole is divided into __________ parts.
Whose equal parts are larger in size? How do you know?
Answer:
Aiden: The whole is divided into 9 parts.
Reid: The whole is divided into 5 parts.
Reid’s equal parts are larger in size as the number of equal parts are less the size of each equal part will be more.
C. Are 2 of the equal parts in Reid’s climb smaller than or larger than 2 of the equal parts in Aiden’s climb?
Answer:
2 of the equal parts in Reid’s climb are larger than 2 of the equal parts in Aiden’s climb.
D. Compare the fractions. \(\frac{2}{9}\) \(\frac{2}{5}\). Who climbs higher?
Answer:
\(\frac{2}{9}\) \(\frac{2}{5}\)
Explanation:
Reid climbs higher as his equal parts are larger in size.
Turn and Talk How can you use the size of the equal parts to find which fraction is greater?
Answer:
If size of equal part is big than the the other then the fraction with big equal parts will be greater.
Check Understanding
Question 1.
Roxanne paints \(\frac{4}{6}\) of a poster red. Max paints \(\frac{4}{8}\) of a same-sized poster red. Who paints more of their poster red? How do you know?
Answer:
Roxanne paints more of the poster red.
Explanation:
Roxanne paints \(\frac{4}{6}\) of a poster red. Max paints \(\frac{4}{8}\) of a same-sized poster red
As the numerators are same and the denominators are different, the size of the equal part decreases with the increase in the denominator.
So,\(\frac{4}{6}\) > \(\frac{4}{8}\)
Therefore, Roxanne paints more of his poster red..
Compare. Write <, >, or =.
Question 2.
\(\frac{3}{4}\) \(\frac{3}{8}\)
Answer:
\(\frac{3}{4}\) 
\(\frac{3}{8}\)
Explanation:
The number of equal lengths in whole increases then the size of each equal part reduces
If the fraction has more number of equal parts then that fraction will be lesser than the other
So, \(\frac{3}{4}\) \(\frac{3}{8}\).
Question 3.
\(\frac{2}{5}\) \(\frac{2}{3}\)
Answer:
\(\frac{2}{5}\) \(\frac{2}{3}\)
Explanation:
The number of equal lengths in whole increases then the size of each equal part reduces
If the fraction has more number of equal parts then that fraction will be lesser than the other
So, \(\frac{2}{5}\) \(\frac{2}{3}\).
Question 4.
\(\frac{4}{5}\) \(\frac{4}{4}\)
Answer:
\(\frac{4}{5}\) \(\frac{4}{4}\)
Explanation:
The number of equal lengths in whole increases then the size of each equal part reduces
If the fraction has more number of equal parts then that fraction will be lesser than the other
So, \(\frac{4}{5}\) \(\frac{4}{4}\).
On Your Own
Question 5.
Reason On a hike, Lilly eats \(\frac{2}{3}\) of her granola bar. Pat eats \(\frac{2}{4}\) of his bar. Both bars are the same size. Who eats less? Explain your answer.
Answer:
Explanation:
On a hike, Lilly eats \(\frac{2}{3}\) of her granola bar
Pat eats \(\frac{2}{4}\) of his bar
Both bars are the same size
As i shaded the bars of both Lilly and Pat, we can see that Pat ate less of the bar.
Compare the fractions. Write <, >, or =.
Question 6.
\(\frac{3}{4}\) \(\frac{3}{6}\)
Answer:
\(\frac{3}{4}\) \(\frac{3}{6}\)
Explanation:
The number of equal lengths in whole increases then the size of each equal part reduces
If the fraction has more number of equal parts then that fraction will be lesser than the other
So, \(\frac{3}{4}\) \(\frac{3}{6}\).
Question 7.
\(\frac{4}{8}\) \(\frac{4}{8}\)
Answer:
\(\frac{4}{8}\) 
\(\frac{4}{8}\)
Explanation:
The number of equal lengths in whole increases then the size of each equal part reduces
If the fraction has more number of equal parts then that fraction will be lesser than the other
So, \(\frac{4}{8}\) \(\frac{4}{8}\)
Question 8.
\(\frac{5}{3}\) \(\frac{5}{8}\)
Answer:
\(\frac{5}{3}\) \(\frac{5}{8}\)
Explanation:
The number of equal lengths in whole increases then the size of each equal part reduces
If the fraction has more number of equal parts then that fraction will be lesser than the other
So, \(\frac{5}{3}\) \(\frac{5}{8}\).
Question 9.
STEM Igneous rocks such as feldspar form when different types of melted rock deep inside Earth cool and harden. Igneous rock sample A is \(\frac{3}{8}\) feldspar. Igneous rock sample B is \(\frac{3}{5}\) feldspar. Both rocks weigh the same. Which rock has a greater amount of feldspar? Explain.
Answer:
Sample A has greater amount of feldspar
Explanation:
Igneous rocks such as feldspar form when different types of melted rock deep inside Earth cool and harden
Igneous rock sample A is \(\frac{3}{8}\) feldspar
Igneous rock sample B is \(\frac{3}{5}\) feldspar
Both rocks weigh the same
3 parts of 5 is greater than 3 parts of 8. So, Sample A has greater amount of feldspar.
I’m in a Learning Mindset!
What do I already know about numerators and denominators that will help me compare fractions that have the same numerator?
Answer: