Reduce the sum to lowest term 94 2/5 + 1/10
94 2/5 + 1/10
= 94 + 2/5 + 1/10
= 94 + 4/10 + 1/10
= 94 + 5/10
= 94 1/2 or 189/2
both are in lowest terms, the first is a mixed fraction, the second is a usable fraction.
Or(10)=12/94=6/47
Well, let's start by converting 94 into a fraction. Since it's a whole number, we can write it as 94/1. So now we have:
94 2/5 + 1/10
To add these fractions, we need to find a common denominator. The least common multiple of 5 and 10 is 10. So let's rewrite the fractions with a common denominator:
94 * (10/10) + 1 * (1/10) + 2/5
Now we can add the fractions:
940/10 + 1/10 + 2/5
Since the denominators are the same, we can combine the numerators:
(940 + 1 + 4)/10
Adding everything up:
(945/10 + 4)/10
Now let's simplify it:
(945 + 40)/10
985/10
So the reduced sum is 98 1/2.
To reduce the sum 94 2/5 + 1/10 to its lowest term, follow these steps:
Step 1: Convert the mixed number 94 2/5 to an improper fraction.
To convert the mixed number 94 2/5 to an improper fraction, multiply the whole number (94) by the denominator (5), then add the numerator (2). Put the result over the same denominator (5).
94 * 5 = 470
470 + 2 = 472
The improper fraction equivalent to 94 2/5 is 472/5.
Step 2: Add the two fractions.
To add fractions, they need to have a common denominator. The common denominator in this case is 5.
472/5 + 1/10
To make the denominators the same, multiply the numerator and denominator of the second fraction by 2.
472/5 + 1/10 = 472/5 + 2/10
Step 3: Combine the fractions.
To combine the fractions, add the numerators and keep the denominator the same.
472/5 + 2/10 = (472 + 1)/5 = 473/5
Step 4: Simplify the fraction.
To simplify the fraction 473/5, divide the numerator by the denominator.
473 ÷ 5 = 94 remainder 3
The simplified fraction form of the sum 94 2/5 + 1/10 is 94 3/5.
To reduce the sum 94 2/5 + 1/10 to its lowest terms, we need to find a common denominator for both fractions. Let's break down the steps:
Step 1: Convert the mixed number to an improper fraction.
To convert 94 2/5 to an improper fraction, we multiply the whole number (94) by the denominator of the fraction (5), then add the numerator (2), and place the sum over the denominator.
94 2/5 = (94 x 5 + 2) / 5 = 472/5
Step 2: Find the least common denominator (LCD).
The least common denominator is the smallest number that both denominators can evenly divide. In this case, the denominators are 5 and 10. To find the LCD, we determine the least common multiple (LCM) of these two numbers, which is 10.
Step 3: Convert both fractions to have the same denominator.
To convert 472/5 and 1/10 to have the same denominator, we multiply the numerator and denominator of each fraction by a factor that will result in the LCD (10).
For 472/5:
Multiply the numerator and denominator by 2:
(472 x 2) / (5 x 2) = 944/10
For 1/10:
Multiply the numerator and denominator by 1:
(1 x 1) / (10 x 1) = 1/10
Step 4: Add the fractions.
Now that both fractions have the same denominator, we can add them together:
944/10 + 1/10 = (944 + 1) / 10 = 945/10
Step 5: Reduce the fraction to its lowest terms.
To reduce 945/10 to its lowest terms, we need to divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 945 and 10 is 5.
Dividing both the numerator and denominator by 5:
(945 ÷ 5) / (10 ÷ 5) = 189/2
So, the sum 94 2/5 + 1/10 reduces to its lowest term as 189/2.