Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 4 Ratio to finish your assignments.
Math in Focus Grade 6 Course 1 A Chapter 4 Answer Key Ratio
Math in Focus Grade 6 Chapter 4 Quick Check Answer Key
Express each fraction as two equivalent fractions using division.
Question 1.
\(\frac{3}{4}\)
Answer:
\(\frac{6}{8}\) and \(\frac{9}{12}\)
Explanation:
To find equivalent fractions,
just multiply the numerator and denominator of that reduced fraction (3/4) by any integer number, i.e., multiply by 2, 3, 4 and so on.
\(\frac{3×2}{4×2}\) = \(\frac{6}{8}\)
\(\frac{3×3}{4×3}\) = \(\frac{9}{12}\)
Question 2.
\(\frac{7}{9}\)
Answer:
\(\frac{14}{18}\) and \(\frac{21}{27}\)
Explanation:
To find equivalent fractions,
just multiply the numerator and denominator of that reduced fraction (7/9) by any integer number, i.e., multiply by 2, 3, 10, 30 and so on.
\(\frac{7×2}{9×2}\) = \(\frac{14}{18}\)
\(\frac{7×3}{9×3}\) = \(\frac{21}{27}\)
Question 3.
\(\frac{6}{11}\)
Answer:
\(\frac{12}{22}\) and \(\frac{18}{33}\)
Explanation:
To find equivalent fractions,
just multiply the numerator and denominator of that reduced fraction (6/11) by any integer number, i.e., multiply by 2, 3, 10, 30 and so on.
\(\frac{6×2}{11×2}\) = \(\frac{12}{22}\)
\(\frac{6×3}{11×3}\) = \(\frac{18}{33}\)
Question 4.
\(\frac{16}{56}\)
Answer:
\(\frac{4}{14}\) and \(\frac{2}{7}\)
Explanation:
To find equivalent fractions,
Divide the numerator and denominator to reduce fraction (16/56) by 4 and 2.
\(\frac{16}{56}\) ÷ 4
= \(\frac{4}{14}\) ÷ 2
= \(\frac{2}{7}\)
Question 5.
\(\frac{21}{63}\)
Answer:
\(\frac{1}{3}\) and \(\frac{2}{6}\)
Explanation:
To find equivalent fractions,
Divide the numerator and denominator to reduce fraction \(\frac{21}{63}\) by 21.
\(\frac{21}{63}\) ÷ 1
= \(\frac{1}{3}\)
Multiply with integer 2
\(\frac{1×2}{3×2}\)
= \(\frac{2}{6}\)
Question 6.
\(\frac{35}{140}\)
Answer:
\(\frac{1}{4}\) and \(\frac{2}{8}\)
Explanation:
To find equivalent fractions,
Divide the numerator and denominator to reduce fraction \(\frac{35}{140}\) by 35.
\(\frac{35}{140}\) ÷ 35
= \(\frac{1}{4}\)
Multiply with integer 2
\(\frac{1×2}{4×2}\)
= \(\frac{2}{8}\)
Find the unknown numerator or denominator in each pair of equivalent fractions.
Question 7.
\(\frac{3}{8}\) = \(\frac{?}{56}\)
Answer: 21
Explanation:
Use cross multiplication to calculate the unknown variable x or fraction.
\(\frac{3}{8}\) = \(\frac{?}{56}\)
\(\frac{3×56}{8}\) = \(\frac{168}{8}\) = 21
Question 8.
\(\frac{7}{9}\) = \(\frac{21}{?}\)
Answer: 27
Explanation:
Use cross multiplication to calculate the unknown variable x or fraction.
\(\frac{7}{9}\) = \(\frac{21}{?}\)
\(\frac{9×21}{7}\) = \(\frac{189}{7}\) = 27
Question 9.
\(\frac{?}{11}\) = \(\frac{30}{55}\)
Answer: 6
Explanation:
Use cross multiplication to calculate the unknown variable x or fraction.
\(\frac{?}{11}\) = \(\frac{30}{55}\)
\(\frac{30×11}{55}\) = \(\frac{330}{55}\) = 6
Question 10.
\(\frac{6}{?}\) = \(\frac{42}{84}\)
Answer: 12
Explanation:
Use cross multiplication to calculate the unknown variable x or fraction.
\(\frac{6}{?}\) = \(\frac{42}{84}\)
\(\frac{6×84}{42}\) = \(\frac{504}{42}\) = 12
Writing fractions in simplest form
Question 11.
\(\frac{5}{45}\)
Answer:
\(\frac{1}{9}\)
Explanation:
If the numerator and denominator can be divided by the same number,
which is called a common factor a simple form of fraction.
See if at least one number in the fraction is a prime number.
Question 12.
\(\frac{18}{63}\)
Answer:
\(\frac{2}{7}\)
Explanation:
If the numerator and denominator can be divided by the same number,
which is called a common factor a simple form of fraction.
See if at least one number in the fraction is a prime number.
Question 13.
\(\frac{22}{55}\)
Answer:
\(\frac{2}{5}\)
Explanation:
If the numerator and denominator can be divided by the same number,
which is called a common factor a simple form of fraction.
See if at least one number in the fraction is a prime number.
Find the unknown measurement.
Question 14.
cm = 4 m
Answer:
400 cm
Explanation:
1m = 100 cm
4 m = 4 x 100
= 400 cm
Question 15.
9.8 kg = g
Answer:
9800 g
Explanation:
1 kg = 1000 g
9.8 kg = 1000 x 9.8
= 9800 g
Question 16.
6 ft = yd
Answer:
2 yards
Explanation:
1 feet = 0.33 yards
6 feet = 0.333 x 6
= 2 yards
Question 17.
10 L = mL
Answer:
10000 mL
Explanation:
1 L = 1000 mL
10 L = 1000 x 10
= 10000 mL
Question 18.
yd = 72 in.
Answer:
2 yards
Explanation:
1 yd = 36 in
72 in = 72/36 = 2
Question 19.
5 lb = oz
Answer:
80 oz
Explanation:
1 lb = 16 oz
5 lb = 16 x 5 = 80
Find the values of P and Q.
Question 20.
Answer:
P = 24 and Q = 6
Explanation:
Each block is of 6 units, as shown below picture
P is of four blocks 6 x 4 = 24 and
Q is 6
Question 21.
Answer:
P = 12 and Q = 16
Explanation:
Each bock is of 4 units
P is 4 x 3 =12 and Q is 4 x 4 = 16