Simplify 21/5 + 32/7
Answers
Answer:
21/5 + 32/7
= 147/35 + 160/35 (making denominator same)
= 307/35 (Ans)
Fraction: 21/5 already reduced to the lowest terms.
The numerator and the denominator have no common prime factors.
Their prime factorization:
21 = 3 × 7;
5 is a prime number;Fraction: 32/7 already reduced to the lowest terms.
The numerator and the denominator have no common prime factors.
Their prime factorization:
32 = 25;
7 is a prime number;
>> Reduce (simplify) fractions to their simplest form, online calculator
Multiply the numerators and the denominators of the fractions separately:
Factor all the numbers in order to easily reduce (simplify) the end fraction.
21/5 × 32/7 =
(21 × 32) / (5 × 7) =
(3 × 7 × 25) / (5 × 7) =
(25 × 3 × 7) / (5 × 7)
>> Calculate the prime factors of numbers,
Calculate the greatest common factor, GCF:
Multiply all the common prime factors, by the lowest exponents.
gcf(25 × 3 × 7; 5 × 7) = 7
>> Calculate the greatest common factor, GCF, online calculator
Divide the numerator and the denominator by GCF.(25 × 3 × 7) / (5 × 7) =
((25 × 3 × 7) ÷ 7) / ((5 × 7) ÷ 7) =
(25 × 3 × 7 ÷ 7)/(5 × 7 ÷ 7) =
(25 × 3 × 1)/(5 × 1) =
(25 × 3)/5 =
(32 × 3)/5 =
96/5As a mixed number (also called a mixed fraction):
Mixed number = a whole number and a proper fraction, of the same sign.
Proper fraction = numerator smaller than denominator.
96 ÷ 5 = 19 and remainder = 1 =>
96 = 19 × 5 + 1 =>
96/5 =
(19 × 5 + 1)/5 =
(19 × 5)/5 + 1/5 =
19 + 1/5 =
19 1/5
As a decimal number:
19 + 1/5 =
19 + 1 ÷ 5 =
19.2
As a percentage:
19.2 =
19.2 × 100/100 =
(19.2 × 100)/100 =
1,920/100 =
1,920%The final answer:
:: written in four ways ::
As a positive improper fraction (numerator >= denominator):
21/5 × 32/7 = 96/5As a mixed number (also called a mixed fraction):
21/5 × 32/7 = 19 1/5
As a decimal number:
21/5 × 32/7 = 19.2
As a percentage:
21/5 × 32/7 = 1,920%How to multiply the ordinary fractions:
31/14 × 42/12
Writing numbers: comma ',' used as a thousands separator; point '.' used as a decimal mark;
Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation