Q.2: Change the mixed fractions into improper fractions. (Use Loose Sheets) a) 2 3/10 b) 2 6/8 c) 5 1/4 d) 1 5/12 Q.3: Change these into mixed fractions. (Use Loose Sheets) a) 15/4 b) 7/3 c) 22/10 d) 35/6

To solve the fractions in the given problems, we'll first understand how to change mixed fractions into improper fractions and vice versa.
Q.2: Change the mixed fractions into improper fractions
For each mixed fraction, the formula to convert it into an improper fraction is:
Improper fraction = ( whole number × denominator ) + numerator
a) 2 \frac{3}{10}

Whole number = 2, numerator = 3, denominator = 10.
Use the formula: ( 2 × 10 ) + 3 = 20 + 3 = 23
Result: 10 23 ​

b) 2 \frac{6}{8}

Whole number = 2, numerator = 6, denominator = 8.
Use the formula: ( 2 × 8 ) + 6 = 16 + 6 = 22
Result: 8 22 ​

c) 5 \frac{1}{4}

Whole number = 5, numerator = 1, denominator = 4.
Use the formula: ( 5 × 4 ) + 1 = 20 + 1 = 21
Result: 4 21 ​

d) 1 \frac{5}{12}

Whole number = 1, numerator = 5, denominator = 12.
Use the formula: ( 1 × 12 ) + 5 = 12 + 5 = 17
Result: 12 17 ​

Q.3: Change these into mixed fractions
For each improper fraction, the method to convert it into a mixed fraction is to divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator.
a) \frac{15}{4}

Divide 15 by 4: 15 ÷ 4 gives quotient = 3, remainder = 3.
Result: 3 4 3 ​

b) \frac{7}{3}

Divide 7 by 3: 7 ÷ 3 gives quotient = 2, remainder = 1.
Result: 2 3 1 ​

c) \frac{22}{10}

Divide 22 by 10: 22 ÷ 10 gives quotient = 2, remainder = 2.
Result: 2 10 2 ​ , and simplify to 2 5 1 ​

d) \frac{35}{6}

Divide 35 by 6: 35 ÷ 6 gives quotient = 5, remainder = 5.
Result: 5 6 5 ​

This process requires understanding the basics of division and multiplication, which are essential in handling fractions.

Answered by EmmaGraceJohnson | 2025-07-20