# What is 1/7 of 25?

## What is 1 / 7 of 25 and how to calculate it yourself

1 / 7 of 25 = 3.57

1 / 7 of 25 is 3.57. In this article, we will go through how to calculate 1 / 7 of 25 and how to calculate any fraction of any whole number (integer). This article will show a general formula for solving this equation for positive numbers, but the same rules can be applied for numbers less than zero too!

Let’s dive into how to solve!

### 1: First step in solving 1 / 7 of 25 is understanding your fraction

1 / 7 has two important parts: the numerator (1) and the denominator (7). The numerator is the number above the division line (called the vinculum) which represent the number of parts being taken from the whole. For example: If there were 14 cars total and 1 painted red, 1 would be the numerator or parts of the total. In this case of 1 / 7, 1 is our numerator. The denominator (7) is located below the vinculum and represents the total number. In the example above 14 would be the denominator of cars. For our fraction: 1 is the numerator and 7 is the denoimator.

### 2: Write out your equation of 1 / 7 times 25

When solving for 1 / 7 of a number, students should write the equation as the whole number (25) times 1 / 7. The solution to our problem will always be smaller than 25 because we are going to end up with a fraction of 25.

$$\frac{ 1 }{ 7 } \times 25$$

### 3. Convert your whole number (25) into a fraction (25/1)

To convert any whole number into a fraction, add a 1 into the denominator. Now place 1 / 7 next to the new fraction. This gives us the equation below.

$$\frac{ 1 }{ 7 } \times \frac{ 25 }{1}$$

### 4. Multiply your fractions together

Once we set our equations 1 / 7 and 25 / 1, we now need to multiple your values starting with the numerators. In this case, we will be multiplying 1 (the numerator of 1 / 7) and 25 (the numerator of our new fraction 25/1). If you need a refresher on multiplying fractions, please see our guide here!

$$\frac{ 1 }{ 7 } \times \frac{ 25 }{1} = \frac{ 25 }{ 7 }$$

Our new numerator is 25.

Then we need to do the same for our denominators. In this equation, we multiply 7 (denominator of 1 / 7) and 1 (the denominator of our new fraction 25 / 1).

Our new denominator is 7.

### 5. Divide our new fraction (25 / 7)

After solving for our new equation off 25 / 7, our last job is to simplify this problem using long division. For longer fractions, we recommend to all of our students to write this last part down and use left to right long division.

$$\frac{ 25 }{ 7 } = 3.57$$

And so there you have it! Our solution is 3.57.

#### Quick recap:

• Turn 25 into a fraction: 25 / 1
• Multiply 25 / 1 by our fraction, 1 / 7
• Multiply the numerators and the denominators together
• We get 25 / 7 from that
• Perform a standard division: 25 divided by 7 = 3.57

#### Additional way of calculating 1 / 7 of 25

You can also write our fraction, 1 / 7, as a decimal by simply dividing 1 by 7 which is 0.14. If you multiply 0.14 with 25 you will see that you will end up with the same answer as above. You may also find it useful to know that if you multiply 0.14 with 100 you get 14.000000000000002. Which means that our answer of 3.57 is 14.000000000000002 percent of 25.
{"ft_lang_label":"__label__en","ft_lang_prob":0.8799586,"math_prob":0.9959353,"size":3354,"snap":"2022-40-2023-06","text_gpt3_token_len":951,"char_repetition_ratio":0.15253732,"word_repetition_ratio":0.040358745,"special_character_ratio":0.31723315,"punctuation_ratio":0.10296192,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9996798,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-01-30T23:41:19Z\",\"WARC-Record-ID\":\"<urn:uuid:2bbb6a1b-b774-4f02-973e-24384fddd6ab>\",\"Content-Length\":\"19512\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:352a0a3b-2dcc-4c35-b747-9a62646b00ec>\",\"WARC-Concurrent-To\":\"<urn:uuid:4c57b2da-335a-4fc5-8d79-217b386e1c8f>\",\"WARC-IP-Address\":\"159.65.170.170\",\"WARC-Target-URI\":\"https://www.mathlearnit.com/fraction-of-number/what-is-1-7-of-25\",\"WARC-Payload-Digest\":\"sha1:OFBJ6FQOJ3AFUNMFATC7PTJ74AXCIN54\",\"WARC-Block-Digest\":\"sha1:C37IAJGN63RAOKNYQBORRGKNNQCPJKMX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499831.97_warc_CC-MAIN-20230130232547-20230131022547-00798.warc.gz\"}"}